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Finding the Fourth Proportional to 1,689.61, 2,331.66 and 1,026.33

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Solution

The fourth proportional to 1,689.61, 2,331.66 and 1,026.33 is: 1,416.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.61 : 2,331.66 = 1,026.33 : x
  2. Step 2: Convert to fraction form
    1,689.61/2,331.66 = 1,026.33/x
  3. Step 3: Cross multiply
    1,689.61x = 2,331.66 × 1,026.33
  4. Step 4: Simplify right side
    1,689.61x = 2,393,061.22
  5. Step 5: Solve for x
    x = 2,393,061.22/1,689.61
  6. Step 6: Final answer
    x = 1,416.34

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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.