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Finding the Fourth Proportional to 2,324.41, 3,482.97 and 1,397.77

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Solution

The fourth proportional to 2,324.41, 3,482.97 and 1,397.77 is: 2,094.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.41 : 3,482.97 = 1,397.77 : x
  2. Step 2: Convert to fraction form
    2,324.41/3,482.97 = 1,397.77/x
  3. Step 3: Cross multiply
    2,324.41x = 3,482.97 × 1,397.77
  4. Step 4: Simplify right side
    2,324.41x = 4,868,390.98
  5. Step 5: Solve for x
    x = 4,868,390.98/2,324.41
  6. Step 6: Final answer
    x = 2,094.46

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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.