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Finding the Fourth Proportional to 2,278.27, 3,417.63 and 612.37

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Solution

The fourth proportional to 2,278.27, 3,417.63 and 612.37 is: 918.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.27 : 3,417.63 = 612.37 : x
  2. Step 2: Convert to fraction form
    2,278.27/3,417.63 = 612.37/x
  3. Step 3: Cross multiply
    2,278.27x = 3,417.63 × 612.37
  4. Step 4: Simplify right side
    2,278.27x = 2,092,854.08
  5. Step 5: Solve for x
    x = 2,092,854.08/2,278.27
  6. Step 6: Final answer
    x = 918.62

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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.