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Finding the Fourth Proportional to 2,390.38, 3,585.30 and 830.11

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Solution

The fourth proportional to 2,390.38, 3,585.30 and 830.11 is: 1,245.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,390.38 : 3,585.30 = 830.11 : x
  2. Step 2: Convert to fraction form
    2,390.38/3,585.30 = 830.11/x
  3. Step 3: Cross multiply
    2,390.38x = 3,585.30 × 830.11
  4. Step 4: Simplify right side
    2,390.38x = 2,976,193.38
  5. Step 5: Solve for x
    x = 2,976,193.38/2,390.38
  6. Step 6: Final answer
    x = 1,245.07

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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.