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Finding the Fourth Proportional to 2,098.55, 2,897.93 and 1,353.80

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Solution

The fourth proportional to 2,098.55, 2,897.93 and 1,353.80 is: 1,869.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.55 : 2,897.93 = 1,353.80 : x
  2. Step 2: Convert to fraction form
    2,098.55/2,897.93 = 1,353.80/x
  3. Step 3: Cross multiply
    2,098.55x = 2,897.93 × 1,353.80
  4. Step 4: Simplify right side
    2,098.55x = 3,923,196.38
  5. Step 5: Solve for x
    x = 3,923,196.38/2,098.55
  6. Step 6: Final answer
    x = 1,869.48

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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.