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Finding the Fourth Proportional to 1,763.06, 2,639.42 and 928.15

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Solution

The fourth proportional to 1,763.06, 2,639.42 and 928.15 is: 1,389.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.06 : 2,639.42 = 928.15 : x
  2. Step 2: Convert to fraction form
    1,763.06/2,639.42 = 928.15/x
  3. Step 3: Cross multiply
    1,763.06x = 2,639.42 × 928.15
  4. Step 4: Simplify right side
    1,763.06x = 2,449,777.67
  5. Step 5: Solve for x
    x = 2,449,777.67/1,763.06
  6. Step 6: Final answer
    x = 1,389.50

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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.