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Finding the Fourth Proportional to 1,689.78, 2,332.62 and 1,026.84

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Solution

The fourth proportional to 1,689.78, 2,332.62 and 1,026.84 is: 1,417.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.78 : 2,332.62 = 1,026.84 : x
  2. Step 2: Convert to fraction form
    1,689.78/2,332.62 = 1,026.84/x
  3. Step 3: Cross multiply
    1,689.78x = 2,332.62 × 1,026.84
  4. Step 4: Simplify right side
    1,689.78x = 2,395,227.52
  5. Step 5: Solve for x
    x = 2,395,227.52/1,689.78
  6. Step 6: Final answer
    x = 1,417.48

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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.