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Finding the Fourth Proportional to 2,457.87, 3,687.34 and 1,158.63

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Solution

The fourth proportional to 2,457.87, 3,687.34 and 1,158.63 is: 1,738.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.87 : 3,687.34 = 1,158.63 : x
  2. Step 2: Convert to fraction form
    2,457.87/3,687.34 = 1,158.63/x
  3. Step 3: Cross multiply
    2,457.87x = 3,687.34 × 1,158.63
  4. Step 4: Simplify right side
    2,457.87x = 4,272,262.74
  5. Step 5: Solve for x
    x = 4,272,262.74/2,457.87
  6. Step 6: Final answer
    x = 1,738.20

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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.