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Finding the Fourth Proportional to 2,313.64, 3,472 and 2,159.87

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Solution

The fourth proportional to 2,313.64, 3,472 and 2,159.87 is: 3,241.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.64 : 3,472 = 2,159.87 : x
  2. Step 2: Convert to fraction form
    2,313.64/3,472 = 2,159.87/x
  3. Step 3: Cross multiply
    2,313.64x = 3,472 × 2,159.87
  4. Step 4: Simplify right side
    2,313.64x = 7,499,068.64
  5. Step 5: Solve for x
    x = 7,499,068.64/2,313.64
  6. Step 6: Final answer
    x = 3,241.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.