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Finding the Fourth Proportional to 2,493.70, 3,442.53 and 1,499.74

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Solution

The fourth proportional to 2,493.70, 3,442.53 and 1,499.74 is: 2,070.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,493.70 : 3,442.53 = 1,499.74 : x
  2. Step 2: Convert to fraction form
    2,493.70/3,442.53 = 1,499.74/x
  3. Step 3: Cross multiply
    2,493.70x = 3,442.53 × 1,499.74
  4. Step 4: Simplify right side
    2,493.70x = 5,162,899.94
  5. Step 5: Solve for x
    x = 5,162,899.94/2,493.70
  6. Step 6: Final answer
    x = 2,070.38

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Why These Related Problems?

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