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Finding the Fourth Proportional to 3,089.64, 4,264.20 and 1,763.40

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Solution

The fourth proportional to 3,089.64, 4,264.20 and 1,763.40 is: 2,433.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089.64 : 4,264.20 = 1,763.40 : x
  2. Step 2: Convert to fraction form
    3,089.64/4,264.20 = 1,763.40/x
  3. Step 3: Cross multiply
    3,089.64x = 4,264.20 × 1,763.40
  4. Step 4: Simplify right side
    3,089.64x = 7,519,490.28
  5. Step 5: Solve for x
    x = 7,519,490.28/3,089.64
  6. Step 6: Final answer
    x = 2,433.78

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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.