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Finding the Fourth Proportional to 1,591.89, 2,196.78 and 970.89

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Solution

The fourth proportional to 1,591.89, 2,196.78 and 970.89 is: 1,339.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.89 : 2,196.78 = 970.89 : x
  2. Step 2: Convert to fraction form
    1,591.89/2,196.78 = 970.89/x
  3. Step 3: Cross multiply
    1,591.89x = 2,196.78 × 970.89
  4. Step 4: Simplify right side
    1,591.89x = 2,132,831.73
  5. Step 5: Solve for x
    x = 2,132,831.73/1,591.89
  6. Step 6: Final answer
    x = 1,339.81

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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.