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Finding the Fourth Proportional to 2,278.20, 3,417.54 and 718.25

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Solution

The fourth proportional to 2,278.20, 3,417.54 and 718.25 is: 1,077.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.20 : 3,417.54 = 718.25 : x
  2. Step 2: Convert to fraction form
    2,278.20/3,417.54 = 718.25/x
  3. Step 3: Cross multiply
    2,278.20x = 3,417.54 × 718.25
  4. Step 4: Simplify right side
    2,278.20x = 2,454,648.11
  5. Step 5: Solve for x
    x = 2,454,648.11/2,278.20
  6. Step 6: Final answer
    x = 1,077.45

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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.