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Finding the Fourth Proportional to 2,141.92, 2,955.84 and 1,184.80

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Solution

The fourth proportional to 2,141.92, 2,955.84 and 1,184.80 is: 1,635.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.92 : 2,955.84 = 1,184.80 : x
  2. Step 2: Convert to fraction form
    2,141.92/2,955.84 = 1,184.80/x
  3. Step 3: Cross multiply
    2,141.92x = 2,955.84 × 1,184.80
  4. Step 4: Simplify right side
    2,141.92x = 3,502,079.23
  5. Step 5: Solve for x
    x = 3,502,079.23/2,141.92
  6. Step 6: Final answer
    x = 1,635.02

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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.