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Finding the Fourth Proportional to 2,803.75, 4,206.38 and 2,497.70

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Solution

The fourth proportional to 2,803.75, 4,206.38 and 2,497.70 is: 3,747.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.75 : 4,206.38 = 2,497.70 : x
  2. Step 2: Convert to fraction form
    2,803.75/4,206.38 = 2,497.70/x
  3. Step 3: Cross multiply
    2,803.75x = 4,206.38 × 2,497.70
  4. Step 4: Simplify right side
    2,803.75x = 10,506,273.35
  5. Step 5: Solve for x
    x = 10,506,273.35/2,803.75
  6. Step 6: Final answer
    x = 3,747.23

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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.