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Finding the Fourth Proportional to 2,092.84, 2,888.09 and 1,148.64

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Solution

The fourth proportional to 2,092.84, 2,888.09 and 1,148.64 is: 1,585.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.84 : 2,888.09 = 1,148.64 : x
  2. Step 2: Convert to fraction form
    2,092.84/2,888.09 = 1,148.64/x
  3. Step 3: Cross multiply
    2,092.84x = 2,888.09 × 1,148.64
  4. Step 4: Simplify right side
    2,092.84x = 3,317,375.70
  5. Step 5: Solve for x
    x = 3,317,375.70/2,092.84
  6. Step 6: Final answer
    x = 1,585.11

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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.