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Finding the Fourth Proportional to 1,477.67, 2,039.15 and 814.52

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Solution

The fourth proportional to 1,477.67, 2,039.15 and 814.52 is: 1,124.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.67 : 2,039.15 = 814.52 : x
  2. Step 2: Convert to fraction form
    1,477.67/2,039.15 = 814.52/x
  3. Step 3: Cross multiply
    1,477.67x = 2,039.15 × 814.52
  4. Step 4: Simplify right side
    1,477.67x = 1,660,920.30
  5. Step 5: Solve for x
    x = 1,660,920.30/1,477.67
  6. Step 6: Final answer
    x = 1,124.01

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