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Finding the Fourth Proportional to 2,695.40, 4,037.70 and 1,539.80

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Solution

The fourth proportional to 2,695.40, 4,037.70 and 1,539.80 is: 2,306.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,695.40 : 4,037.70 = 1,539.80 : x
  2. Step 2: Convert to fraction form
    2,695.40/4,037.70 = 1,539.80/x
  3. Step 3: Cross multiply
    2,695.40x = 4,037.70 × 1,539.80
  4. Step 4: Simplify right side
    2,695.40x = 6,217,250.46
  5. Step 5: Solve for x
    x = 6,217,250.46/2,695.40
  6. Step 6: Final answer
    x = 2,306.62

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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.