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Finding the Fourth Proportional to 2,139.75, 2,952.86 and 1,256.45

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Solution

The fourth proportional to 2,139.75, 2,952.86 and 1,256.45 is: 1,733.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.75 : 2,952.86 = 1,256.45 : x
  2. Step 2: Convert to fraction form
    2,139.75/2,952.86 = 1,256.45/x
  3. Step 3: Cross multiply
    2,139.75x = 2,952.86 × 1,256.45
  4. Step 4: Simplify right side
    2,139.75x = 3,710,099.90
  5. Step 5: Solve for x
    x = 3,710,099.90/2,139.75
  6. Step 6: Final answer
    x = 1,733.89

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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.