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Finding the Fourth Proportional to 3,066.57, 4,599.86 and 1,118.32

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Solution

The fourth proportional to 3,066.57, 4,599.86 and 1,118.32 is: 1,677.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066.57 : 4,599.86 = 1,118.32 : x
  2. Step 2: Convert to fraction form
    3,066.57/4,599.86 = 1,118.32/x
  3. Step 3: Cross multiply
    3,066.57x = 4,599.86 × 1,118.32
  4. Step 4: Simplify right side
    3,066.57x = 5,144,098.34
  5. Step 5: Solve for x
    x = 5,144,098.34/3,066.57
  6. Step 6: Final answer
    x = 1,677.48

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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.