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Finding the Fourth Proportional to 2,049.84, 2,829.04 and 1,165.74

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Solution

The fourth proportional to 2,049.84, 2,829.04 and 1,165.74 is: 1,608.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.84 : 2,829.04 = 1,165.74 : x
  2. Step 2: Convert to fraction form
    2,049.84/2,829.04 = 1,165.74/x
  3. Step 3: Cross multiply
    2,049.84x = 2,829.04 × 1,165.74
  4. Step 4: Simplify right side
    2,049.84x = 3,297,925.09
  5. Step 5: Solve for x
    x = 3,297,925.09/2,049.84
  6. Step 6: Final answer
    x = 1,608.87

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1.5x scale

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.