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Finding the Fourth Proportional to 2,438.98, 3,658.43 and 590.08

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Solution

The fourth proportional to 2,438.98, 3,658.43 and 590.08 is: 885.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,438.98 : 3,658.43 = 590.08 : x
  2. Step 2: Convert to fraction form
    2,438.98/3,658.43 = 590.08/x
  3. Step 3: Cross multiply
    2,438.98x = 3,658.43 × 590.08
  4. Step 4: Simplify right side
    2,438.98x = 2,158,763.42
  5. Step 5: Solve for x
    x = 2,158,763.42/2,438.98
  6. Step 6: Final answer
    x = 885.11

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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.