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Finding the Fourth Proportional to 2,177.65, 3,005.15 and 1,182.92

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Solution

The fourth proportional to 2,177.65, 3,005.15 and 1,182.92 is: 1,632.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,177.65 : 3,005.15 = 1,182.92 : x
  2. Step 2: Convert to fraction form
    2,177.65/3,005.15 = 1,182.92/x
  3. Step 3: Cross multiply
    2,177.65x = 3,005.15 × 1,182.92
  4. Step 4: Simplify right side
    2,177.65x = 3,554,852.04
  5. Step 5: Solve for x
    x = 3,554,852.04/2,177.65
  6. Step 6: Final answer
    x = 1,632.43

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.