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Finding the Fourth Proportional to 2,399.64, 3,312.33 and 1,405.24

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Solution

The fourth proportional to 2,399.64, 3,312.33 and 1,405.24 is: 1,939.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.64 : 3,312.33 = 1,405.24 : x
  2. Step 2: Convert to fraction form
    2,399.64/3,312.33 = 1,405.24/x
  3. Step 3: Cross multiply
    2,399.64x = 3,312.33 × 1,405.24
  4. Step 4: Simplify right side
    2,399.64x = 4,654,618.61
  5. Step 5: Solve for x
    x = 4,654,618.61/2,399.64
  6. Step 6: Final answer
    x = 1,939.72

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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.