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Finding the Fourth Proportional to 2,710.71, 4,066.52 and 836.55

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Solution

The fourth proportional to 2,710.71, 4,066.52 and 836.55 is: 1,254.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.71 : 4,066.52 = 836.55 : x
  2. Step 2: Convert to fraction form
    2,710.71/4,066.52 = 836.55/x
  3. Step 3: Cross multiply
    2,710.71x = 4,066.52 × 836.55
  4. Step 4: Simplify right side
    2,710.71x = 3,401,843.12
  5. Step 5: Solve for x
    x = 3,401,843.12/2,710.71
  6. Step 6: Final answer
    x = 1,254.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.