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Finding the Fourth Proportional to 2,364.96, 3,540 and 1,715.52

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Solution

The fourth proportional to 2,364.96, 3,540 and 1,715.52 is: 2,567.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.96 : 3,540 = 1,715.52 : x
  2. Step 2: Convert to fraction form
    2,364.96/3,540 = 1,715.52/x
  3. Step 3: Cross multiply
    2,364.96x = 3,540 × 1,715.52
  4. Step 4: Simplify right side
    2,364.96x = 6,072,940.80
  5. Step 5: Solve for x
    x = 6,072,940.80/2,364.96
  6. Step 6: Final answer
    x = 2,567.88

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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.