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Finding the Fourth Proportional to 2,165.52, 2,987.64 and 1,233.48

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Solution

The fourth proportional to 2,165.52, 2,987.64 and 1,233.48 is: 1,701.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.52 : 2,987.64 = 1,233.48 : x
  2. Step 2: Convert to fraction form
    2,165.52/2,987.64 = 1,233.48/x
  3. Step 3: Cross multiply
    2,165.52x = 2,987.64 × 1,233.48
  4. Step 4: Simplify right side
    2,165.52x = 3,685,194.19
  5. Step 5: Solve for x
    x = 3,685,194.19/2,165.52
  6. Step 6: Final answer
    x = 1,701.76

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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.