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Finding the Fourth Proportional to 2,291.78, 3,437.67 and 830.93

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Solution

The fourth proportional to 2,291.78, 3,437.67 and 830.93 is: 1,246.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.78 : 3,437.67 = 830.93 : x
  2. Step 2: Convert to fraction form
    2,291.78/3,437.67 = 830.93/x
  3. Step 3: Cross multiply
    2,291.78x = 3,437.67 × 830.93
  4. Step 4: Simplify right side
    2,291.78x = 2,856,463.13
  5. Step 5: Solve for x
    x = 2,856,463.13/2,291.78
  6. Step 6: Final answer
    x = 1,246.40

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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.