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Finding the Fourth Proportional to 2,358.45, 3,537.54 and 897.48

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Solution

The fourth proportional to 2,358.45, 3,537.54 and 897.48 is: 1,346.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.45 : 3,537.54 = 897.48 : x
  2. Step 2: Convert to fraction form
    2,358.45/3,537.54 = 897.48/x
  3. Step 3: Cross multiply
    2,358.45x = 3,537.54 × 897.48
  4. Step 4: Simplify right side
    2,358.45x = 3,174,871.40
  5. Step 5: Solve for x
    x = 3,174,871.40/2,358.45
  6. Step 6: Final answer
    x = 1,346.17

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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.