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Finding the Fourth Proportional to 2,138.47, 2,950.93 and 1,254.15

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Solution

The fourth proportional to 2,138.47, 2,950.93 and 1,254.15 is: 1,730.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.47 : 2,950.93 = 1,254.15 : x
  2. Step 2: Convert to fraction form
    2,138.47/2,950.93 = 1,254.15/x
  3. Step 3: Cross multiply
    2,138.47x = 2,950.93 × 1,254.15
  4. Step 4: Simplify right side
    2,138.47x = 3,700,910.43
  5. Step 5: Solve for x
    x = 3,700,910.43/2,138.47
  6. Step 6: Final answer
    x = 1,730.64

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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.