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Finding the Fourth Proportional to 2,970.76, 4,098.18 and 2,131.60

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Solution

The fourth proportional to 2,970.76, 4,098.18 and 2,131.60 is: 2,940.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.76 : 4,098.18 = 2,131.60 : x
  2. Step 2: Convert to fraction form
    2,970.76/4,098.18 = 2,131.60/x
  3. Step 3: Cross multiply
    2,970.76x = 4,098.18 × 2,131.60
  4. Step 4: Simplify right side
    2,970.76x = 8,735,680.49
  5. Step 5: Solve for x
    x = 8,735,680.49/2,970.76
  6. Step 6: Final answer
    x = 2,940.55

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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.