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Finding the Fourth Proportional to 1,666.62, 2,498.22 and 626.43

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Solution

The fourth proportional to 1,666.62, 2,498.22 and 626.43 is: 939.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.62 : 2,498.22 = 626.43 : x
  2. Step 2: Convert to fraction form
    1,666.62/2,498.22 = 626.43/x
  3. Step 3: Cross multiply
    1,666.62x = 2,498.22 × 626.43
  4. Step 4: Simplify right side
    1,666.62x = 1,564,959.95
  5. Step 5: Solve for x
    x = 1,564,959.95/1,666.62
  6. Step 6: Final answer
    x = 939.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.