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Finding the Fourth Proportional to 3,142.32, 4,715.28 and 1,410.94

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Solution

The fourth proportional to 3,142.32, 4,715.28 and 1,410.94 is: 2,117.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.32 : 4,715.28 = 1,410.94 : x
  2. Step 2: Convert to fraction form
    3,142.32/4,715.28 = 1,410.94/x
  3. Step 3: Cross multiply
    3,142.32x = 4,715.28 × 1,410.94
  4. Step 4: Simplify right side
    3,142.32x = 6,652,977.16
  5. Step 5: Solve for x
    x = 6,652,977.16/3,142.32
  6. Step 6: Final answer
    x = 2,117.22

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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.