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Finding the Fourth Proportional to 2,294.65, 3,165.49 and 1,497.60

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Solution

The fourth proportional to 2,294.65, 3,165.49 and 1,497.60 is: 2,065.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.65 : 3,165.49 = 1,497.60 : x
  2. Step 2: Convert to fraction form
    2,294.65/3,165.49 = 1,497.60/x
  3. Step 3: Cross multiply
    2,294.65x = 3,165.49 × 1,497.60
  4. Step 4: Simplify right side
    2,294.65x = 4,740,636.78
  5. Step 5: Solve for x
    x = 4,740,636.78/2,294.65
  6. Step 6: Final answer
    x = 2,065.95

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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.