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Finding the Fourth Proportional to 1,684.29, 2,526.83 and 710.43

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Solution

The fourth proportional to 1,684.29, 2,526.83 and 710.43 is: 1,065.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.29 : 2,526.83 = 710.43 : x
  2. Step 2: Convert to fraction form
    1,684.29/2,526.83 = 710.43/x
  3. Step 3: Cross multiply
    1,684.29x = 2,526.83 × 710.43
  4. Step 4: Simplify right side
    1,684.29x = 1,795,132.28
  5. Step 5: Solve for x
    x = 1,795,132.28/1,684.29
  6. Step 6: Final answer
    x = 1,065.81

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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.