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Finding the Fourth Proportional to 2,312.79, 3,468.27 and 925.87

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Solution

The fourth proportional to 2,312.79, 3,468.27 and 925.87 is: 1,388.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.79 : 3,468.27 = 925.87 : x
  2. Step 2: Convert to fraction form
    2,312.79/3,468.27 = 925.87/x
  3. Step 3: Cross multiply
    2,312.79x = 3,468.27 × 925.87
  4. Step 4: Simplify right side
    2,312.79x = 3,211,158.47
  5. Step 5: Solve for x
    x = 3,211,158.47/2,312.79
  6. Step 6: Final answer
    x = 1,388.43

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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.