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Finding the Fourth Proportional to 2,158.62, 3,237.93 and 598.56

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Solution

The fourth proportional to 2,158.62, 3,237.93 and 598.56 is: 897.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.62 : 3,237.93 = 598.56 : x
  2. Step 2: Convert to fraction form
    2,158.62/3,237.93 = 598.56/x
  3. Step 3: Cross multiply
    2,158.62x = 3,237.93 × 598.56
  4. Step 4: Simplify right side
    2,158.62x = 1,938,095.38
  5. Step 5: Solve for x
    x = 1,938,095.38/2,158.62
  6. Step 6: Final answer
    x = 897.84

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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.