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Finding the Fourth Proportional to 1,681.48, 2,524.65 and 1,197.10

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Solution

The fourth proportional to 1,681.48, 2,524.65 and 1,197.10 is: 1,797.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.48 : 2,524.65 = 1,197.10 : x
  2. Step 2: Convert to fraction form
    1,681.48/2,524.65 = 1,197.10/x
  3. Step 3: Cross multiply
    1,681.48x = 2,524.65 × 1,197.10
  4. Step 4: Simplify right side
    1,681.48x = 3,022,258.52
  5. Step 5: Solve for x
    x = 3,022,258.52/1,681.48
  6. Step 6: Final answer
    x = 1,797.38

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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.