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Finding the Fourth Proportional to 2,341.32, 3,230.04 and 2,154.78

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Solution

The fourth proportional to 2,341.32, 3,230.04 and 2,154.78 is: 2,972.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,341.32 : 3,230.04 = 2,154.78 : x
  2. Step 2: Convert to fraction form
    2,341.32/3,230.04 = 2,154.78/x
  3. Step 3: Cross multiply
    2,341.32x = 3,230.04 × 2,154.78
  4. Step 4: Simplify right side
    2,341.32x = 6,960,025.59
  5. Step 5: Solve for x
    x = 6,960,025.59/2,341.32
  6. Step 6: Final answer
    x = 2,972.69

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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.