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Finding the Fourth Proportional to 1,637.96, 2,260.24 and 929.76

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Solution

The fourth proportional to 1,637.96, 2,260.24 and 929.76 is: 1,282.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637.96 : 2,260.24 = 929.76 : x
  2. Step 2: Convert to fraction form
    1,637.96/2,260.24 = 929.76/x
  3. Step 3: Cross multiply
    1,637.96x = 2,260.24 × 929.76
  4. Step 4: Simplify right side
    1,637.96x = 2,101,480.74
  5. Step 5: Solve for x
    x = 2,101,480.74/1,637.96
  6. Step 6: Final answer
    x = 1,282.99

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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.