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Finding the Fourth Proportional to 2,384.88, 3,575.26 and 925.05

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Solution

The fourth proportional to 2,384.88, 3,575.26 and 925.05 is: 1,386.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.88 : 3,575.26 = 925.05 : x
  2. Step 2: Convert to fraction form
    2,384.88/3,575.26 = 925.05/x
  3. Step 3: Cross multiply
    2,384.88x = 3,575.26 × 925.05
  4. Step 4: Simplify right side
    2,384.88x = 3,307,294.26
  5. Step 5: Solve for x
    x = 3,307,294.26/2,384.88
  6. Step 6: Final answer
    x = 1,386.78

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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.