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Finding the Fourth Proportional to 1,666.71, 2,500.41 and 626.67

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Solution

The fourth proportional to 1,666.71, 2,500.41 and 626.67 is: 940.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.71 : 2,500.41 = 626.67 : x
  2. Step 2: Convert to fraction form
    1,666.71/2,500.41 = 626.67/x
  3. Step 3: Cross multiply
    1,666.71x = 2,500.41 × 626.67
  4. Step 4: Simplify right side
    1,666.71x = 1,566,931.93
  5. Step 5: Solve for x
    x = 1,566,931.93/1,666.71
  6. Step 6: Final answer
    x = 940.13

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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.