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Finding the Fourth Proportional to 3,144.42, 4,711.16 and 1,580.72

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Solution

The fourth proportional to 3,144.42, 4,711.16 and 1,580.72 is: 2,368.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.42 : 4,711.16 = 1,580.72 : x
  2. Step 2: Convert to fraction form
    3,144.42/4,711.16 = 1,580.72/x
  3. Step 3: Cross multiply
    3,144.42x = 4,711.16 × 1,580.72
  4. Step 4: Simplify right side
    3,144.42x = 7,447,005.23
  5. Step 5: Solve for x
    x = 7,447,005.23/3,144.42
  6. Step 6: Final answer
    x = 2,368.32

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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.