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Finding the Fourth Proportional to 1,744.91, 2,407.98 and 1,026.91

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Solution

The fourth proportional to 1,744.91, 2,407.98 and 1,026.91 is: 1,417.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.91 : 2,407.98 = 1,026.91 : x
  2. Step 2: Convert to fraction form
    1,744.91/2,407.98 = 1,026.91/x
  3. Step 3: Cross multiply
    1,744.91x = 2,407.98 × 1,026.91
  4. Step 4: Simplify right side
    1,744.91x = 2,472,778.74
  5. Step 5: Solve for x
    x = 2,472,778.74/1,744.91
  6. Step 6: Final answer
    x = 1,417.14

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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.