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Finding the Fourth Proportional to 2,853.57, 3,938.45 and 1,658.72

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Solution

The fourth proportional to 2,853.57, 3,938.45 and 1,658.72 is: 2,289.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,853.57 : 3,938.45 = 1,658.72 : x
  2. Step 2: Convert to fraction form
    2,853.57/3,938.45 = 1,658.72/x
  3. Step 3: Cross multiply
    2,853.57x = 3,938.45 × 1,658.72
  4. Step 4: Simplify right side
    2,853.57x = 6,532,787.34
  5. Step 5: Solve for x
    x = 6,532,787.34/2,853.57
  6. Step 6: Final answer
    x = 2,289.34

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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.