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Finding the Fourth Proportional to 2,358.52, 3,537.81 and 897.82

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Solution

The fourth proportional to 2,358.52, 3,537.81 and 897.82 is: 1,346.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.52 : 3,537.81 = 897.82 : x
  2. Step 2: Convert to fraction form
    2,358.52/3,537.81 = 897.82/x
  3. Step 3: Cross multiply
    2,358.52x = 3,537.81 × 897.82
  4. Step 4: Simplify right side
    2,358.52x = 3,176,307.73
  5. Step 5: Solve for x
    x = 3,176,307.73/2,358.52
  6. Step 6: Final answer
    x = 1,346.74

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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.