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Finding the Fourth Proportional to 1,470.77, 2,204.99 and 1,007.14

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Solution

The fourth proportional to 1,470.77, 2,204.99 and 1,007.14 is: 1,509.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.77 : 2,204.99 = 1,007.14 : x
  2. Step 2: Convert to fraction form
    1,470.77/2,204.99 = 1,007.14/x
  3. Step 3: Cross multiply
    1,470.77x = 2,204.99 × 1,007.14
  4. Step 4: Simplify right side
    1,470.77x = 2,220,733.63
  5. Step 5: Solve for x
    x = 2,220,733.63/1,470.77
  6. Step 6: Final answer
    x = 1,509.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.