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Finding the Fourth Proportional to 2,319.15, 3,478.95 and 758.64

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Solution

The fourth proportional to 2,319.15, 3,478.95 and 758.64 is: 1,138.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,319.15 : 3,478.95 = 758.64 : x
  2. Step 2: Convert to fraction form
    2,319.15/3,478.95 = 758.64/x
  3. Step 3: Cross multiply
    2,319.15x = 3,478.95 × 758.64
  4. Step 4: Simplify right side
    2,319.15x = 2,639,270.63
  5. Step 5: Solve for x
    x = 2,639,270.63/2,319.15
  6. Step 6: Final answer
    x = 1,138.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.