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Finding the Fourth Proportional to 3,032.18, 4,548.74 and 951.71

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Solution

The fourth proportional to 3,032.18, 4,548.74 and 951.71 is: 1,427.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,032.18 : 4,548.74 = 951.71 : x
  2. Step 2: Convert to fraction form
    3,032.18/4,548.74 = 951.71/x
  3. Step 3: Cross multiply
    3,032.18x = 4,548.74 × 951.71
  4. Step 4: Simplify right side
    3,032.18x = 4,329,095.10
  5. Step 5: Solve for x
    x = 4,329,095.10/3,032.18
  6. Step 6: Final answer
    x = 1,427.72

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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.