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Finding the Fourth Proportional to 2,165.04, 3,248.10 and 867.96

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Solution

The fourth proportional to 2,165.04, 3,248.10 and 867.96 is: 1,302.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.04 : 3,248.10 = 867.96 : x
  2. Step 2: Convert to fraction form
    2,165.04/3,248.10 = 867.96/x
  3. Step 3: Cross multiply
    2,165.04x = 3,248.10 × 867.96
  4. Step 4: Simplify right side
    2,165.04x = 2,819,220.88
  5. Step 5: Solve for x
    x = 2,819,220.88/2,165.04
  6. Step 6: Final answer
    x = 1,302.16

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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.