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Finding the Fourth Proportional to 2,245.91, 3,098.59 and 1,301.45

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Solution

The fourth proportional to 2,245.91, 3,098.59 and 1,301.45 is: 1,795.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,245.91 : 3,098.59 = 1,301.45 : x
  2. Step 2: Convert to fraction form
    2,245.91/3,098.59 = 1,301.45/x
  3. Step 3: Cross multiply
    2,245.91x = 3,098.59 × 1,301.45
  4. Step 4: Simplify right side
    2,245.91x = 4,032,641.21
  5. Step 5: Solve for x
    x = 4,032,641.21/2,245.91
  6. Step 6: Final answer
    x = 1,795.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.