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Finding the Fourth Proportional to 1,582.35, 2,182.70 and 991.86

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Solution

The fourth proportional to 1,582.35, 2,182.70 and 991.86 is: 1,368.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.35 : 2,182.70 = 991.86 : x
  2. Step 2: Convert to fraction form
    1,582.35/2,182.70 = 991.86/x
  3. Step 3: Cross multiply
    1,582.35x = 2,182.70 × 991.86
  4. Step 4: Simplify right side
    1,582.35x = 2,164,927.86
  5. Step 5: Solve for x
    x = 2,164,927.86/1,582.35
  6. Step 6: Final answer
    x = 1,368.17

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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.