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Finding the Fourth Proportional to 2,703.72, 3,730.80 and 1,524.72

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Solution

The fourth proportional to 2,703.72, 3,730.80 and 1,524.72 is: 2,103.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.72 : 3,730.80 = 1,524.72 : x
  2. Step 2: Convert to fraction form
    2,703.72/3,730.80 = 1,524.72/x
  3. Step 3: Cross multiply
    2,703.72x = 3,730.80 × 1,524.72
  4. Step 4: Simplify right side
    2,703.72x = 5,688,425.38
  5. Step 5: Solve for x
    x = 5,688,425.38/2,703.72
  6. Step 6: Final answer
    x = 2,103.93

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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.