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Finding the Fourth Proportional to 2,099.35, 2,898.65 and 1,353.75

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Solution

The fourth proportional to 2,099.35, 2,898.65 and 1,353.75 is: 1,869.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.35 : 2,898.65 = 1,353.75 : x
  2. Step 2: Convert to fraction form
    2,099.35/2,898.65 = 1,353.75/x
  3. Step 3: Cross multiply
    2,099.35x = 2,898.65 × 1,353.75
  4. Step 4: Simplify right side
    2,099.35x = 3,924,039.95
  5. Step 5: Solve for x
    x = 3,924,039.95/2,099.35
  6. Step 6: Final answer
    x = 1,869.17

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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.