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Finding the Fourth Proportional to 1,684.20, 2,527.08 and 710.52

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Solution

The fourth proportional to 1,684.20, 2,527.08 and 710.52 is: 1,066.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.20 : 2,527.08 = 710.52 : x
  2. Step 2: Convert to fraction form
    1,684.20/2,527.08 = 710.52/x
  3. Step 3: Cross multiply
    1,684.20x = 2,527.08 × 710.52
  4. Step 4: Simplify right side
    1,684.20x = 1,795,540.88
  5. Step 5: Solve for x
    x = 1,795,540.88/1,684.20
  6. Step 6: Final answer
    x = 1,066.11

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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.