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Finding the Fourth Proportional to 3,047.15, 4,565.33 and 1,400.24

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Solution

The fourth proportional to 3,047.15, 4,565.33 and 1,400.24 is: 2,097.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.15 : 4,565.33 = 1,400.24 : x
  2. Step 2: Convert to fraction form
    3,047.15/4,565.33 = 1,400.24/x
  3. Step 3: Cross multiply
    3,047.15x = 4,565.33 × 1,400.24
  4. Step 4: Simplify right side
    3,047.15x = 6,392,527.85
  5. Step 5: Solve for x
    x = 6,392,527.85/3,047.15
  6. Step 6: Final answer
    x = 2,097.87

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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.