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Finding the Fourth Proportional to 1,569.77, 2,362.52 and 1,181.78

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Solution

The fourth proportional to 1,569.77, 2,362.52 and 1,181.78 is: 1,778.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.77 : 2,362.52 = 1,181.78 : x
  2. Step 2: Convert to fraction form
    1,569.77/2,362.52 = 1,181.78/x
  3. Step 3: Cross multiply
    1,569.77x = 2,362.52 × 1,181.78
  4. Step 4: Simplify right side
    1,569.77x = 2,791,961.16
  5. Step 5: Solve for x
    x = 2,791,961.16/1,569.77
  6. Step 6: Final answer
    x = 1,778.59

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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.