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Finding the Fourth Proportional to 1,748.31, 2,411.74 and 1,039.65

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Solution

The fourth proportional to 1,748.31, 2,411.74 and 1,039.65 is: 1,434.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.31 : 2,411.74 = 1,039.65 : x
  2. Step 2: Convert to fraction form
    1,748.31/2,411.74 = 1,039.65/x
  3. Step 3: Cross multiply
    1,748.31x = 2,411.74 × 1,039.65
  4. Step 4: Simplify right side
    1,748.31x = 2,507,363.33
  5. Step 5: Solve for x
    x = 2,507,363.33/1,748.31
  6. Step 6: Final answer
    x = 1,434.16

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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.