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Finding the Fourth Proportional to 1,666.65, 2,500.49 and 626.74

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Solution

The fourth proportional to 1,666.65, 2,500.49 and 626.74 is: 940.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.65 : 2,500.49 = 626.74 : x
  2. Step 2: Convert to fraction form
    1,666.65/2,500.49 = 626.74/x
  3. Step 3: Cross multiply
    1,666.65x = 2,500.49 × 626.74
  4. Step 4: Simplify right side
    1,666.65x = 1,567,153.97
  5. Step 5: Solve for x
    x = 1,567,153.97/1,666.65
  6. Step 6: Final answer
    x = 940.30

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