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Finding the Fourth Proportional to 2,002.52, 2,762.10 and 1,339.40

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Solution

The fourth proportional to 2,002.52, 2,762.10 and 1,339.40 is: 1,847.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.52 : 2,762.10 = 1,339.40 : x
  2. Step 2: Convert to fraction form
    2,002.52/2,762.10 = 1,339.40/x
  3. Step 3: Cross multiply
    2,002.52x = 2,762.10 × 1,339.40
  4. Step 4: Simplify right side
    2,002.52x = 3,699,556.74
  5. Step 5: Solve for x
    x = 3,699,556.74/2,002.52
  6. Step 6: Final answer
    x = 1,847.45

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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.