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Finding the Fourth Proportional to 2,399.96, 3,312.24 and 1,352

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Solution

The fourth proportional to 2,399.96, 3,312.24 and 1,352 is: 1,865.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.96 : 3,312.24 = 1,352 : x
  2. Step 2: Convert to fraction form
    2,399.96/3,312.24 = 1,352/x
  3. Step 3: Cross multiply
    2,399.96x = 3,312.24 × 1,352
  4. Step 4: Simplify right side
    2,399.96x = 4,478,148.48
  5. Step 5: Solve for x
    x = 4,478,148.48/2,399.96
  6. Step 6: Final answer
    x = 1,865.93

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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.