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Finding the Fourth Proportional to 4,451.41, 6,677.12 and 1,164.16

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Solution

The fourth proportional to 4,451.41, 6,677.12 and 1,164.16 is: 1,746.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,451.41 : 6,677.12 = 1,164.16 : x
  2. Step 2: Convert to fraction form
    4,451.41/6,677.12 = 1,164.16/x
  3. Step 3: Cross multiply
    4,451.41x = 6,677.12 × 1,164.16
  4. Step 4: Simplify right side
    4,451.41x = 7,773,236.02
  5. Step 5: Solve for x
    x = 7,773,236.02/4,451.41
  6. Step 6: Final answer
    x = 1,746.24

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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.