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Finding the Fourth Proportional to 2,105.48, 2,903.84 and 1,869.60

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Solution

The fourth proportional to 2,105.48, 2,903.84 and 1,869.60 is: 2,578.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.48 : 2,903.84 = 1,869.60 : x
  2. Step 2: Convert to fraction form
    2,105.48/2,903.84 = 1,869.60/x
  3. Step 3: Cross multiply
    2,105.48x = 2,903.84 × 1,869.60
  4. Step 4: Simplify right side
    2,105.48x = 5,429,019.26
  5. Step 5: Solve for x
    x = 5,429,019.26/2,105.48
  6. Step 6: Final answer
    x = 2,578.52

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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.