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Finding the Fourth Proportional to 2,316.48, 3,197.12 and 1,321.80

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Solution

The fourth proportional to 2,316.48, 3,197.12 and 1,321.80 is: 1,824.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.48 : 3,197.12 = 1,321.80 : x
  2. Step 2: Convert to fraction form
    2,316.48/3,197.12 = 1,321.80/x
  3. Step 3: Cross multiply
    2,316.48x = 3,197.12 × 1,321.80
  4. Step 4: Simplify right side
    2,316.48x = 4,225,946.61
  5. Step 5: Solve for x
    x = 4,225,946.61/2,316.48
  6. Step 6: Final answer
    x = 1,824.30

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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.