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Finding the Fourth Proportional to 2,559.25, 3,838.95 and 710.38

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Solution

The fourth proportional to 2,559.25, 3,838.95 and 710.38 is: 1,065.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,559.25 : 3,838.95 = 710.38 : x
  2. Step 2: Convert to fraction form
    2,559.25/3,838.95 = 710.38/x
  3. Step 3: Cross multiply
    2,559.25x = 3,838.95 × 710.38
  4. Step 4: Simplify right side
    2,559.25x = 2,727,113.30
  5. Step 5: Solve for x
    x = 2,727,113.30/2,559.25
  6. Step 6: Final answer
    x = 1,065.59

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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.