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Finding the Fourth Proportional to 2,451.57, 3,677.32 and 602.74

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Solution

The fourth proportional to 2,451.57, 3,677.32 and 602.74 is: 904.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451.57 : 3,677.32 = 602.74 : x
  2. Step 2: Convert to fraction form
    2,451.57/3,677.32 = 602.74/x
  3. Step 3: Cross multiply
    2,451.57x = 3,677.32 × 602.74
  4. Step 4: Simplify right side
    2,451.57x = 2,216,467.86
  5. Step 5: Solve for x
    x = 2,216,467.86/2,451.57
  6. Step 6: Final answer
    x = 904.10

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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.