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Finding the Fourth Proportional to 1,331.30, 1,995.15 and 946.10

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Solution

The fourth proportional to 1,331.30, 1,995.15 and 946.10 is: 1,417.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.30 : 1,995.15 = 946.10 : x
  2. Step 2: Convert to fraction form
    1,331.30/1,995.15 = 946.10/x
  3. Step 3: Cross multiply
    1,331.30x = 1,995.15 × 946.10
  4. Step 4: Simplify right side
    1,331.30x = 1,887,611.42
  5. Step 5: Solve for x
    x = 1,887,611.42/1,331.30
  6. Step 6: Final answer
    x = 1,417.87

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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.