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Finding the Fourth Proportional to 1,637.86, 2,260.20 and 929.68

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Solution

The fourth proportional to 1,637.86, 2,260.20 and 929.68 is: 1,282.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637.86 : 2,260.20 = 929.68 : x
  2. Step 2: Convert to fraction form
    1,637.86/2,260.20 = 929.68/x
  3. Step 3: Cross multiply
    1,637.86x = 2,260.20 × 929.68
  4. Step 4: Simplify right side
    1,637.86x = 2,101,262.74
  5. Step 5: Solve for x
    x = 2,101,262.74/1,637.86
  6. Step 6: Final answer
    x = 1,282.93

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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.