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Finding the Fourth Proportional to 2,953.53, 4,432.52 and 1,105.11

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Solution

The fourth proportional to 2,953.53, 4,432.52 and 1,105.11 is: 1,658.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953.53 : 4,432.52 = 1,105.11 : x
  2. Step 2: Convert to fraction form
    2,953.53/4,432.52 = 1,105.11/x
  3. Step 3: Cross multiply
    2,953.53x = 4,432.52 × 1,105.11
  4. Step 4: Simplify right side
    2,953.53x = 4,898,424.94
  5. Step 5: Solve for x
    x = 4,898,424.94/2,953.53
  6. Step 6: Final answer
    x = 1,658.50

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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.