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Finding the Fourth Proportional to 2,345.85, 3,518.78 and 614.48

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Solution

The fourth proportional to 2,345.85, 3,518.78 and 614.48 is: 921.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,345.85 : 3,518.78 = 614.48 : x
  2. Step 2: Convert to fraction form
    2,345.85/3,518.78 = 614.48/x
  3. Step 3: Cross multiply
    2,345.85x = 3,518.78 × 614.48
  4. Step 4: Simplify right side
    2,345.85x = 2,162,219.93
  5. Step 5: Solve for x
    x = 2,162,219.93/2,345.85
  6. Step 6: Final answer
    x = 921.72

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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.