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Finding the Fourth Proportional to 2,277.89, 3,417.31 and 718.34

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Solution

The fourth proportional to 2,277.89, 3,417.31 and 718.34 is: 1,077.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.89 : 3,417.31 = 718.34 : x
  2. Step 2: Convert to fraction form
    2,277.89/3,417.31 = 718.34/x
  3. Step 3: Cross multiply
    2,277.89x = 3,417.31 × 718.34
  4. Step 4: Simplify right side
    2,277.89x = 2,454,774.28
  5. Step 5: Solve for x
    x = 2,454,774.28/2,277.89
  6. Step 6: Final answer
    x = 1,077.65

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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.