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Finding the Fourth Proportional to 2,457.59, 3,679.09 and 2,454.35

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Solution

The fourth proportional to 2,457.59, 3,679.09 and 2,454.35 is: 3,674.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.59 : 3,679.09 = 2,454.35 : x
  2. Step 2: Convert to fraction form
    2,457.59/3,679.09 = 2,454.35/x
  3. Step 3: Cross multiply
    2,457.59x = 3,679.09 × 2,454.35
  4. Step 4: Simplify right side
    2,457.59x = 9,029,750.01
  5. Step 5: Solve for x
    x = 9,029,750.01/2,457.59
  6. Step 6: Final answer
    x = 3,674.24

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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.