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Finding the Fourth Proportional to 2,397.65, 3,596.49 and 642.74

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Solution

The fourth proportional to 2,397.65, 3,596.49 and 642.74 is: 964.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397.65 : 3,596.49 = 642.74 : x
  2. Step 2: Convert to fraction form
    2,397.65/3,596.49 = 642.74/x
  3. Step 3: Cross multiply
    2,397.65x = 3,596.49 × 642.74
  4. Step 4: Simplify right side
    2,397.65x = 2,311,590.00
  5. Step 5: Solve for x
    x = 2,311,590.00/2,397.65
  6. Step 6: Final answer
    x = 964.11

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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.