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Finding the Fourth Proportional to 3,111.18, 4,667.01 and 1,031.10

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Solution

The fourth proportional to 3,111.18, 4,667.01 and 1,031.10 is: 1,546.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.18 : 4,667.01 = 1,031.10 : x
  2. Step 2: Convert to fraction form
    3,111.18/4,667.01 = 1,031.10/x
  3. Step 3: Cross multiply
    3,111.18x = 4,667.01 × 1,031.10
  4. Step 4: Simplify right side
    3,111.18x = 4,812,154.01
  5. Step 5: Solve for x
    x = 4,812,154.01/3,111.18
  6. Step 6: Final answer
    x = 1,546.73

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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.