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Finding the Fourth Proportional to 2,144.76, 2,960.19 and 1,358.25

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Solution

The fourth proportional to 2,144.76, 2,960.19 and 1,358.25 is: 1,874.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.76 : 2,960.19 = 1,358.25 : x
  2. Step 2: Convert to fraction form
    2,144.76/2,960.19 = 1,358.25/x
  3. Step 3: Cross multiply
    2,144.76x = 2,960.19 × 1,358.25
  4. Step 4: Simplify right side
    2,144.76x = 4,020,678.07
  5. Step 5: Solve for x
    x = 4,020,678.07/2,144.76
  6. Step 6: Final answer
    x = 1,874.65

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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.