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Finding the Fourth Proportional to 1,884.48, 2,600.85 and 1,569.30

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Solution

The fourth proportional to 1,884.48, 2,600.85 and 1,569.30 is: 2,165.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.48 : 2,600.85 = 1,569.30 : x
  2. Step 2: Convert to fraction form
    1,884.48/2,600.85 = 1,569.30/x
  3. Step 3: Cross multiply
    1,884.48x = 2,600.85 × 1,569.30
  4. Step 4: Simplify right side
    1,884.48x = 4,081,513.91
  5. Step 5: Solve for x
    x = 4,081,513.91/1,884.48
  6. Step 6: Final answer
    x = 2,165.86

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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.