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Finding the Fourth Proportional to 1,748.04, 2,411.72 and 1,001.90

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Solution

The fourth proportional to 1,748.04, 2,411.72 and 1,001.90 is: 1,382.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.04 : 2,411.72 = 1,001.90 : x
  2. Step 2: Convert to fraction form
    1,748.04/2,411.72 = 1,001.90/x
  3. Step 3: Cross multiply
    1,748.04x = 2,411.72 × 1,001.90
  4. Step 4: Simplify right side
    1,748.04x = 2,416,302.27
  5. Step 5: Solve for x
    x = 2,416,302.27/1,748.04
  6. Step 6: Final answer
    x = 1,382.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.