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Finding the Fourth Proportional to 1,689.84, 2,332.17 and 1,026.63

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Solution

The fourth proportional to 1,689.84, 2,332.17 and 1,026.63 is: 1,416.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.84 : 2,332.17 = 1,026.63 : x
  2. Step 2: Convert to fraction form
    1,689.84/2,332.17 = 1,026.63/x
  3. Step 3: Cross multiply
    1,689.84x = 2,332.17 × 1,026.63
  4. Step 4: Simplify right side
    1,689.84x = 2,394,275.69
  5. Step 5: Solve for x
    x = 2,394,275.69/1,689.84
  6. Step 6: Final answer
    x = 1,416.87

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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.