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Finding the Fourth Proportional to 2,035.52, 2,809.52 and 1,337.84

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Solution

The fourth proportional to 2,035.52, 2,809.52 and 1,337.84 is: 1,846.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.52 : 2,809.52 = 1,337.84 : x
  2. Step 2: Convert to fraction form
    2,035.52/2,809.52 = 1,337.84/x
  3. Step 3: Cross multiply
    2,035.52x = 2,809.52 × 1,337.84
  4. Step 4: Simplify right side
    2,035.52x = 3,758,688.24
  5. Step 5: Solve for x
    x = 3,758,688.24/2,035.52
  6. Step 6: Final answer
    x = 1,846.55

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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.