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Finding the Fourth Proportional to 2,264.67, 3,395.39 and 1,031.45

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Solution

The fourth proportional to 2,264.67, 3,395.39 and 1,031.45 is: 1,546.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.67 : 3,395.39 = 1,031.45 : x
  2. Step 2: Convert to fraction form
    2,264.67/3,395.39 = 1,031.45/x
  3. Step 3: Cross multiply
    2,264.67x = 3,395.39 × 1,031.45
  4. Step 4: Simplify right side
    2,264.67x = 3,502,152.88
  5. Step 5: Solve for x
    x = 3,502,152.88/2,264.67
  6. Step 6: Final answer
    x = 1,546.43

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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.