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Finding the Fourth Proportional to 1,340.43, 2,010.04 and 929.68

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Solution

The fourth proportional to 1,340.43, 2,010.04 and 929.68 is: 1,394.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.43 : 2,010.04 = 929.68 : x
  2. Step 2: Convert to fraction form
    1,340.43/2,010.04 = 929.68/x
  3. Step 3: Cross multiply
    1,340.43x = 2,010.04 × 929.68
  4. Step 4: Simplify right side
    1,340.43x = 1,868,693.99
  5. Step 5: Solve for x
    x = 1,868,693.99/1,340.43
  6. Step 6: Final answer
    x = 1,394.10

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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.