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Finding the Fourth Proportional to 2,138.32, 2,950.89 and 1,254.14

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Solution

The fourth proportional to 2,138.32, 2,950.89 and 1,254.14 is: 1,730.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.32 : 2,950.89 = 1,254.14 : x
  2. Step 2: Convert to fraction form
    2,138.32/2,950.89 = 1,254.14/x
  3. Step 3: Cross multiply
    2,138.32x = 2,950.89 × 1,254.14
  4. Step 4: Simplify right side
    2,138.32x = 3,700,829.18
  5. Step 5: Solve for x
    x = 3,700,829.18/2,138.32
  6. Step 6: Final answer
    x = 1,730.72

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Why These Related Problems?

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