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Finding the Fourth Proportional to 2,358.99, 3,538.49 and 897.35

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Solution

The fourth proportional to 2,358.99, 3,538.49 and 897.35 is: 1,346.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.99 : 3,538.49 = 897.35 : x
  2. Step 2: Convert to fraction form
    2,358.99/3,538.49 = 897.35/x
  3. Step 3: Cross multiply
    2,358.99x = 3,538.49 × 897.35
  4. Step 4: Simplify right side
    2,358.99x = 3,175,241.82
  5. Step 5: Solve for x
    x = 3,175,241.82/2,358.99
  6. Step 6: Final answer
    x = 1,346.02

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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.