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Finding the Fourth Proportional to 2,331.60, 3,497.40 and 1,510.80

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Solution

The fourth proportional to 2,331.60, 3,497.40 and 1,510.80 is: 2,266.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331.60 : 3,497.40 = 1,510.80 : x
  2. Step 2: Convert to fraction form
    2,331.60/3,497.40 = 1,510.80/x
  3. Step 3: Cross multiply
    2,331.60x = 3,497.40 × 1,510.80
  4. Step 4: Simplify right side
    2,331.60x = 5,283,871.92
  5. Step 5: Solve for x
    x = 5,283,871.92/2,331.60
  6. Step 6: Final answer
    x = 2,266.20

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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.