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Finding the Fourth Proportional to 2,451.77, 3,677.62 and 1,152.32

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Solution

The fourth proportional to 2,451.77, 3,677.62 and 1,152.32 is: 1,728.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451.77 : 3,677.62 = 1,152.32 : x
  2. Step 2: Convert to fraction form
    2,451.77/3,677.62 = 1,152.32/x
  3. Step 3: Cross multiply
    2,451.77x = 3,677.62 × 1,152.32
  4. Step 4: Simplify right side
    2,451.77x = 4,237,795.08
  5. Step 5: Solve for x
    x = 4,237,795.08/2,451.77
  6. Step 6: Final answer
    x = 1,728.46

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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.