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Finding the Fourth Proportional to 2,306.76, 3,443.40 and 2,135.46

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Solution

The fourth proportional to 2,306.76, 3,443.40 and 2,135.46 is: 3,187.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.76 : 3,443.40 = 2,135.46 : x
  2. Step 2: Convert to fraction form
    2,306.76/3,443.40 = 2,135.46/x
  3. Step 3: Cross multiply
    2,306.76x = 3,443.40 × 2,135.46
  4. Step 4: Simplify right side
    2,306.76x = 7,353,242.96
  5. Step 5: Solve for x
    x = 7,353,242.96/2,306.76
  6. Step 6: Final answer
    x = 3,187.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.