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Finding the Fourth Proportional to 2,567.39, 3,851.10 and 619.61

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Solution

The fourth proportional to 2,567.39, 3,851.10 and 619.61 is: 929.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.39 : 3,851.10 = 619.61 : x
  2. Step 2: Convert to fraction form
    2,567.39/3,851.10 = 619.61/x
  3. Step 3: Cross multiply
    2,567.39x = 3,851.10 × 619.61
  4. Step 4: Simplify right side
    2,567.39x = 2,386,160.82
  5. Step 5: Solve for x
    x = 2,386,160.82/2,567.39
  6. Step 6: Final answer
    x = 929.41

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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.