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Finding the Fourth Proportional to 1,748.39, 2,411.17 and 1,085.00

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Solution

The fourth proportional to 1,748.39, 2,411.17 and 1,085.00 is: 1,496.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.39 : 2,411.17 = 1,085.00 : x
  2. Step 2: Convert to fraction form
    1,748.39/2,411.17 = 1,085.00/x
  3. Step 3: Cross multiply
    1,748.39x = 2,411.17 × 1,085.00
  4. Step 4: Simplify right side
    1,748.39x = 2,616,104.68
  5. Step 5: Solve for x
    x = 2,616,104.68/1,748.39
  6. Step 6: Final answer
    x = 1,496.30

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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.