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Finding the Fourth Proportional to 2,410.93, 3,613.95 and 951.10

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Solution

The fourth proportional to 2,410.93, 3,613.95 and 951.10 is: 1,425.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.93 : 3,613.95 = 951.10 : x
  2. Step 2: Convert to fraction form
    2,410.93/3,613.95 = 951.10/x
  3. Step 3: Cross multiply
    2,410.93x = 3,613.95 × 951.10
  4. Step 4: Simplify right side
    2,410.93x = 3,437,227.85
  5. Step 5: Solve for x
    x = 3,437,227.85/2,410.93
  6. Step 6: Final answer
    x = 1,425.69

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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.