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Finding the Fourth Proportional to 1,965.78, 2,712.61 and 1,158.10

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Solution

The fourth proportional to 1,965.78, 2,712.61 and 1,158.10 is: 1,598.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.78 : 2,712.61 = 1,158.10 : x
  2. Step 2: Convert to fraction form
    1,965.78/2,712.61 = 1,158.10/x
  3. Step 3: Cross multiply
    1,965.78x = 2,712.61 × 1,158.10
  4. Step 4: Simplify right side
    1,965.78x = 3,141,481.40
  5. Step 5: Solve for x
    x = 3,141,481.40/1,965.78
  6. Step 6: Final answer
    x = 1,598.08

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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.