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Finding the Fourth Proportional to 3,131.32, 4,697.54 and 1,052

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Solution

The fourth proportional to 3,131.32, 4,697.54 and 1,052 is: 1,578.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.32 : 4,697.54 = 1,052 : x
  2. Step 2: Convert to fraction form
    3,131.32/4,697.54 = 1,052/x
  3. Step 3: Cross multiply
    3,131.32x = 4,697.54 × 1,052
  4. Step 4: Simplify right side
    3,131.32x = 4,941,812.08
  5. Step 5: Solve for x
    x = 4,941,812.08/3,131.32
  6. Step 6: Final answer
    x = 1,578.19

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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.