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Finding the Fourth Proportional to 2,410.54, 3,323.92 and 1,569.70

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Solution

The fourth proportional to 2,410.54, 3,323.92 and 1,569.70 is: 2,164.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.54 : 3,323.92 = 1,569.70 : x
  2. Step 2: Convert to fraction form
    2,410.54/3,323.92 = 1,569.70/x
  3. Step 3: Cross multiply
    2,410.54x = 3,323.92 × 1,569.70
  4. Step 4: Simplify right side
    2,410.54x = 5,217,557.22
  5. Step 5: Solve for x
    x = 5,217,557.22/2,410.54
  6. Step 6: Final answer
    x = 2,164.48

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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.