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Finding the Fourth Proportional to 3,132.90, 4,697.46 and 1,184.64

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Solution

The fourth proportional to 3,132.90, 4,697.46 and 1,184.64 is: 1,776.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,132.90 : 4,697.46 = 1,184.64 : x
  2. Step 2: Convert to fraction form
    3,132.90/4,697.46 = 1,184.64/x
  3. Step 3: Cross multiply
    3,132.90x = 4,697.46 × 1,184.64
  4. Step 4: Simplify right side
    3,132.90x = 5,564,799.01
  5. Step 5: Solve for x
    x = 5,564,799.01/3,132.90
  6. Step 6: Final answer
    x = 1,776.25

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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.