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Finding the Fourth Proportional to 1,689.98, 2,332.94 and 1,027.13

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Solution

The fourth proportional to 1,689.98, 2,332.94 and 1,027.13 is: 1,417.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.98 : 2,332.94 = 1,027.13 : x
  2. Step 2: Convert to fraction form
    1,689.98/2,332.94 = 1,027.13/x
  3. Step 3: Cross multiply
    1,689.98x = 2,332.94 × 1,027.13
  4. Step 4: Simplify right side
    1,689.98x = 2,396,215.86
  5. Step 5: Solve for x
    x = 2,396,215.86/1,689.98
  6. Step 6: Final answer
    x = 1,417.90

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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.