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Finding the Fourth Proportional to 2,358.30, 3,537.72 and 897.78

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Solution

The fourth proportional to 2,358.30, 3,537.72 and 897.78 is: 1,346.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.30 : 3,537.72 = 897.78 : x
  2. Step 2: Convert to fraction form
    2,358.30/3,537.72 = 897.78/x
  3. Step 3: Cross multiply
    2,358.30x = 3,537.72 × 897.78
  4. Step 4: Simplify right side
    2,358.30x = 3,176,094.26
  5. Step 5: Solve for x
    x = 3,176,094.26/2,358.30
  6. Step 6: Final answer
    x = 1,346.77

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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.