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Finding the Fourth Proportional to 2,109.98, 3,164.71 and 940

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Solution

The fourth proportional to 2,109.98, 3,164.71 and 940 is: 1,409.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.98 : 3,164.71 = 940 : x
  2. Step 2: Convert to fraction form
    2,109.98/3,164.71 = 940/x
  3. Step 3: Cross multiply
    2,109.98x = 3,164.71 × 940
  4. Step 4: Simplify right side
    2,109.98x = 2,974,827.40
  5. Step 5: Solve for x
    x = 2,974,827.40/2,109.98
  6. Step 6: Final answer
    x = 1,409.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.