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Finding the Fourth Proportional to 3,011.60, 4,158.54 and 2,264.25

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Solution

The fourth proportional to 3,011.60, 4,158.54 and 2,264.25 is: 3,126.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,011.60 : 4,158.54 = 2,264.25 : x
  2. Step 2: Convert to fraction form
    3,011.60/4,158.54 = 2,264.25/x
  3. Step 3: Cross multiply
    3,011.60x = 4,158.54 × 2,264.25
  4. Step 4: Simplify right side
    3,011.60x = 9,415,974.20
  5. Step 5: Solve for x
    x = 9,415,974.20/3,011.60
  6. Step 6: Final answer
    x = 3,126.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.