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Finding the Fourth Proportional to 1,938.60, 2,674.08 and 1,191.24

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Solution

The fourth proportional to 1,938.60, 2,674.08 and 1,191.24 is: 1,643.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,938.60 : 2,674.08 = 1,191.24 : x
  2. Step 2: Convert to fraction form
    1,938.60/2,674.08 = 1,191.24/x
  3. Step 3: Cross multiply
    1,938.60x = 2,674.08 × 1,191.24
  4. Step 4: Simplify right side
    1,938.60x = 3,185,471.06
  5. Step 5: Solve for x
    x = 3,185,471.06/1,938.60
  6. Step 6: Final answer
    x = 1,643.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.