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Finding the Fourth Proportional to 1,569.53, 2,355.18 and 1,365.55

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Solution

The fourth proportional to 1,569.53, 2,355.18 and 1,365.55 is: 2,049.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.53 : 2,355.18 = 1,365.55 : x
  2. Step 2: Convert to fraction form
    1,569.53/2,355.18 = 1,365.55/x
  3. Step 3: Cross multiply
    1,569.53x = 2,355.18 × 1,365.55
  4. Step 4: Simplify right side
    1,569.53x = 3,216,105.04
  5. Step 5: Solve for x
    x = 3,216,105.04/1,569.53
  6. Step 6: Final answer
    x = 2,049.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.