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Finding the Fourth Proportional to 2,360.14, 3,522.25 and 2,264.76

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Solution

The fourth proportional to 2,360.14, 3,522.25 and 2,264.76 is: 3,379.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,360.14 : 3,522.25 = 2,264.76 : x
  2. Step 2: Convert to fraction form
    2,360.14/3,522.25 = 2,264.76/x
  3. Step 3: Cross multiply
    2,360.14x = 3,522.25 × 2,264.76
  4. Step 4: Simplify right side
    2,360.14x = 7,977,053.74
  5. Step 5: Solve for x
    x = 7,977,053.74/2,360.14
  6. Step 6: Final answer
    x = 3,379.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.