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Finding the Fourth Proportional to 1,855.57, 2,560.65 and 1,016.26

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Solution

The fourth proportional to 1,855.57, 2,560.65 and 1,016.26 is: 1,402.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.57 : 2,560.65 = 1,016.26 : x
  2. Step 2: Convert to fraction form
    1,855.57/2,560.65 = 1,016.26/x
  3. Step 3: Cross multiply
    1,855.57x = 2,560.65 × 1,016.26
  4. Step 4: Simplify right side
    1,855.57x = 2,602,286.17
  5. Step 5: Solve for x
    x = 2,602,286.17/1,855.57
  6. Step 6: Final answer
    x = 1,402.42

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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.