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Finding the Fourth Proportional to 2,931, 4,390.56 and 2,442.48

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Solution

The fourth proportional to 2,931, 4,390.56 and 2,442.48 is: 3,658.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,931 : 4,390.56 = 2,442.48 : x
  2. Step 2: Convert to fraction form
    2,931/4,390.56 = 2,442.48/x
  3. Step 3: Cross multiply
    2,931x = 4,390.56 × 2,442.48
  4. Step 4: Simplify right side
    2,931x = 10,723,854.99
  5. Step 5: Solve for x
    x = 10,723,854.99/2,931
  6. Step 6: Final answer
    x = 3,658.77

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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.