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Finding the Fourth Proportional to 2,710.81, 3,740.92 and 1,468.81

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Solution

The fourth proportional to 2,710.81, 3,740.92 and 1,468.81 is: 2,026.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.81 : 3,740.92 = 1,468.81 : x
  2. Step 2: Convert to fraction form
    2,710.81/3,740.92 = 1,468.81/x
  3. Step 3: Cross multiply
    2,710.81x = 3,740.92 × 1,468.81
  4. Step 4: Simplify right side
    2,710.81x = 5,494,700.71
  5. Step 5: Solve for x
    x = 5,494,700.71/2,710.81
  6. Step 6: Final answer
    x = 2,026.96

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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.