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Finding the Fourth Proportional to 3,098.80, 4,640.27 and 1,710.59

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Solution

The fourth proportional to 3,098.80, 4,640.27 and 1,710.59 is: 2,561.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.80 : 4,640.27 = 1,710.59 : x
  2. Step 2: Convert to fraction form
    3,098.80/4,640.27 = 1,710.59/x
  3. Step 3: Cross multiply
    3,098.80x = 4,640.27 × 1,710.59
  4. Step 4: Simplify right side
    3,098.80x = 7,937,615.34
  5. Step 5: Solve for x
    x = 7,937,615.34/3,098.80
  6. Step 6: Final answer
    x = 2,561.51

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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.