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Finding the Fourth Proportional to 1,927.40, 2,659.80 and 1,043.18

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Solution

The fourth proportional to 1,927.40, 2,659.80 and 1,043.18 is: 1,439.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,927.40 : 2,659.80 = 1,043.18 : x
  2. Step 2: Convert to fraction form
    1,927.40/2,659.80 = 1,043.18/x
  3. Step 3: Cross multiply
    1,927.40x = 2,659.80 × 1,043.18
  4. Step 4: Simplify right side
    1,927.40x = 2,774,650.16
  5. Step 5: Solve for x
    x = 2,774,650.16/1,927.40
  6. Step 6: Final answer
    x = 1,439.58

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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.