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Finding the Fourth Proportional to 2,149.10, 2,965.95 and 1,264.46

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Solution

The fourth proportional to 2,149.10, 2,965.95 and 1,264.46 is: 1,745.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.10 : 2,965.95 = 1,264.46 : x
  2. Step 2: Convert to fraction form
    2,149.10/2,965.95 = 1,264.46/x
  3. Step 3: Cross multiply
    2,149.10x = 2,965.95 × 1,264.46
  4. Step 4: Simplify right side
    2,149.10x = 3,750,325.14
  5. Step 5: Solve for x
    x = 3,750,325.14/2,149.10
  6. Step 6: Final answer
    x = 1,745.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.