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Finding the Fourth Proportional to 2,390.56, 3,278.89 and 2,277.16

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Solution

The fourth proportional to 2,390.56, 3,278.89 and 2,277.16 is: 3,123.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,390.56 : 3,278.89 = 2,277.16 : x
  2. Step 2: Convert to fraction form
    2,390.56/3,278.89 = 2,277.16/x
  3. Step 3: Cross multiply
    2,390.56x = 3,278.89 × 2,277.16
  4. Step 4: Simplify right side
    2,390.56x = 7,466,557.15
  5. Step 5: Solve for x
    x = 7,466,557.15/2,390.56
  6. Step 6: Final answer
    x = 3,123.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.