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Finding the Fourth Proportional to 2,139.69, 2,948.70 and 1,475.34

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Solution

The fourth proportional to 2,139.69, 2,948.70 and 1,475.34 is: 2,033.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.69 : 2,948.70 = 1,475.34 : x
  2. Step 2: Convert to fraction form
    2,139.69/2,948.70 = 1,475.34/x
  3. Step 3: Cross multiply
    2,139.69x = 2,948.70 × 1,475.34
  4. Step 4: Simplify right side
    2,139.69x = 4,350,335.06
  5. Step 5: Solve for x
    x = 4,350,335.06/2,139.69
  6. Step 6: Final answer
    x = 2,033.16

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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.