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Finding the Fourth Proportional to 2,534.23, 3,801.31 and 802.86

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Solution

The fourth proportional to 2,534.23, 3,801.31 and 802.86 is: 1,204.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.23 : 3,801.31 = 802.86 : x
  2. Step 2: Convert to fraction form
    2,534.23/3,801.31 = 802.86/x
  3. Step 3: Cross multiply
    2,534.23x = 3,801.31 × 802.86
  4. Step 4: Simplify right side
    2,534.23x = 3,051,919.75
  5. Step 5: Solve for x
    x = 3,051,919.75/2,534.23
  6. Step 6: Final answer
    x = 1,204.28

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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.