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Finding the Fourth Proportional to 2,138.40, 2,948.81 and 1,508.63

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Solution

The fourth proportional to 2,138.40, 2,948.81 and 1,508.63 is: 2,080.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.40 : 2,948.81 = 1,508.63 : x
  2. Step 2: Convert to fraction form
    2,138.40/2,948.81 = 1,508.63/x
  3. Step 3: Cross multiply
    2,138.40x = 2,948.81 × 1,508.63
  4. Step 4: Simplify right side
    2,138.40x = 4,448,640.94
  5. Step 5: Solve for x
    x = 4,448,640.94/2,138.40
  6. Step 6: Final answer
    x = 2,080.36

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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.