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Finding the Fourth Proportional to 3,143.34, 4,715.01 and 1,410.75

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Solution

The fourth proportional to 3,143.34, 4,715.01 and 1,410.75 is: 2,116.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.34 : 4,715.01 = 1,410.75 : x
  2. Step 2: Convert to fraction form
    3,143.34/4,715.01 = 1,410.75/x
  3. Step 3: Cross multiply
    3,143.34x = 4,715.01 × 1,410.75
  4. Step 4: Simplify right side
    3,143.34x = 6,651,700.36
  5. Step 5: Solve for x
    x = 6,651,700.36/3,143.34
  6. Step 6: Final answer
    x = 2,116.13

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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.