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Finding the Fourth Proportional to 2,359.48, 3,538.68 and 897.88

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Solution

The fourth proportional to 2,359.48, 3,538.68 and 897.88 is: 1,346.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.48 : 3,538.68 = 897.88 : x
  2. Step 2: Convert to fraction form
    2,359.48/3,538.68 = 897.88/x
  3. Step 3: Cross multiply
    2,359.48x = 3,538.68 × 897.88
  4. Step 4: Simplify right side
    2,359.48x = 3,177,310.00
  5. Step 5: Solve for x
    x = 3,177,310.00/2,359.48
  6. Step 6: Final answer
    x = 1,346.61

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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.