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Finding the Fourth Proportional to 2,165.82, 2,987.19 and 1,537.26

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Solution

The fourth proportional to 2,165.82, 2,987.19 and 1,537.26 is: 2,120.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.82 : 2,987.19 = 1,537.26 : x
  2. Step 2: Convert to fraction form
    2,165.82/2,987.19 = 1,537.26/x
  3. Step 3: Cross multiply
    2,165.82x = 2,987.19 × 1,537.26
  4. Step 4: Simplify right side
    2,165.82x = 4,592,087.70
  5. Step 5: Solve for x
    x = 4,592,087.70/2,165.82
  6. Step 6: Final answer
    x = 2,120.25

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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.