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Finding the Fourth Proportional to 1,941.77, 2,679.91 and 1,145.32

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Solution

The fourth proportional to 1,941.77, 2,679.91 and 1,145.32 is: 1,580.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,941.77 : 2,679.91 = 1,145.32 : x
  2. Step 2: Convert to fraction form
    1,941.77/2,679.91 = 1,145.32/x
  3. Step 3: Cross multiply
    1,941.77x = 2,679.91 × 1,145.32
  4. Step 4: Simplify right side
    1,941.77x = 3,069,363.73
  5. Step 5: Solve for x
    x = 3,069,363.73/1,941.77
  6. Step 6: Final answer
    x = 1,580.70

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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.