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Finding the Fourth Proportional to 1,722.64, 2,593.34 and 1,569.55

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Solution

The fourth proportional to 1,722.64, 2,593.34 and 1,569.55 is: 2,362.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.64 : 2,593.34 = 1,569.55 : x
  2. Step 2: Convert to fraction form
    1,722.64/2,593.34 = 1,569.55/x
  3. Step 3: Cross multiply
    1,722.64x = 2,593.34 × 1,569.55
  4. Step 4: Simplify right side
    1,722.64x = 4,070,376.80
  5. Step 5: Solve for x
    x = 4,070,376.80/1,722.64
  6. Step 6: Final answer
    x = 2,362.87

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.