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Finding the Fourth Proportional to 2,479.90, 3,697.94 and 2,457.64

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Solution

The fourth proportional to 2,479.90, 3,697.94 and 2,457.64 is: 3,664.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,479.90 : 3,697.94 = 2,457.64 : x
  2. Step 2: Convert to fraction form
    2,479.90/3,697.94 = 2,457.64/x
  3. Step 3: Cross multiply
    2,479.90x = 3,697.94 × 2,457.64
  4. Step 4: Simplify right side
    2,479.90x = 9,088,205.26
  5. Step 5: Solve for x
    x = 9,088,205.26/2,479.90
  6. Step 6: Final answer
    x = 3,664.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.