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Finding the Fourth Proportional to 1,944.60, 2,683.62 and 1,158.72

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Solution

The fourth proportional to 1,944.60, 2,683.62 and 1,158.72 is: 1,599.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,944.60 : 2,683.62 = 1,158.72 : x
  2. Step 2: Convert to fraction form
    1,944.60/2,683.62 = 1,158.72/x
  3. Step 3: Cross multiply
    1,944.60x = 2,683.62 × 1,158.72
  4. Step 4: Simplify right side
    1,944.60x = 3,109,564.17
  5. Step 5: Solve for x
    x = 3,109,564.17/1,944.60
  6. Step 6: Final answer
    x = 1,599.08

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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.