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Finding the Fourth Proportional to 2,495.20, 3,442.80 and 1,500.16

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Solution

The fourth proportional to 2,495.20, 3,442.80 and 1,500.16 is: 2,069.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,495.20 : 3,442.80 = 1,500.16 : x
  2. Step 2: Convert to fraction form
    2,495.20/3,442.80 = 1,500.16/x
  3. Step 3: Cross multiply
    2,495.20x = 3,442.80 × 1,500.16
  4. Step 4: Simplify right side
    2,495.20x = 5,164,750.85
  5. Step 5: Solve for x
    x = 5,164,750.85/2,495.20
  6. Step 6: Final answer
    x = 2,069.87

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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.