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Finding the Fourth Proportional to 1,537.03, 2,305.55 and 854.47

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Solution

The fourth proportional to 1,537.03, 2,305.55 and 854.47 is: 1,281.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.03 : 2,305.55 = 854.47 : x
  2. Step 2: Convert to fraction form
    1,537.03/2,305.55 = 854.47/x
  3. Step 3: Cross multiply
    1,537.03x = 2,305.55 × 854.47
  4. Step 4: Simplify right side
    1,537.03x = 1,970,019.04
  5. Step 5: Solve for x
    x = 1,970,019.04/1,537.03
  6. Step 6: Final answer
    x = 1,281.71

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1.5x scale

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.