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Finding the Fourth Proportional to 2,098.69, 2,896.13 and 1,154.48

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Solution

The fourth proportional to 2,098.69, 2,896.13 and 1,154.48 is: 1,593.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.69 : 2,896.13 = 1,154.48 : x
  2. Step 2: Convert to fraction form
    2,098.69/2,896.13 = 1,154.48/x
  3. Step 3: Cross multiply
    2,098.69x = 2,896.13 × 1,154.48
  4. Step 4: Simplify right side
    2,098.69x = 3,343,512.57
  5. Step 5: Solve for x
    x = 3,343,512.57/2,098.69
  6. Step 6: Final answer
    x = 1,593.14

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1.5x scale

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.