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Finding the Fourth Proportional to 2,098.63, 2,896.16 and 1,154.46

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Solution

The fourth proportional to 2,098.63, 2,896.16 and 1,154.46 is: 1,593.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.63 : 2,896.16 = 1,154.46 : x
  2. Step 2: Convert to fraction form
    2,098.63/2,896.16 = 1,154.46/x
  3. Step 3: Cross multiply
    2,098.63x = 2,896.16 × 1,154.46
  4. Step 4: Simplify right side
    2,098.63x = 3,343,500.87
  5. Step 5: Solve for x
    x = 3,343,500.87/2,098.63
  6. Step 6: Final answer
    x = 1,593.18

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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.