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Finding the Fourth Proportional to 2,303.03, 3,178.20 and 1,255.10

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Solution

The fourth proportional to 2,303.03, 3,178.20 and 1,255.10 is: 1,732.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.03 : 3,178.20 = 1,255.10 : x
  2. Step 2: Convert to fraction form
    2,303.03/3,178.20 = 1,255.10/x
  3. Step 3: Cross multiply
    2,303.03x = 3,178.20 × 1,255.10
  4. Step 4: Simplify right side
    2,303.03x = 3,988,947.64
  5. Step 5: Solve for x
    x = 3,988,947.64/2,303.03
  6. Step 6: Final answer
    x = 1,732.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.