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Finding the Fourth Proportional to 2,378.98, 3,552.28 and 2,099.00

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Solution

The fourth proportional to 2,378.98, 3,552.28 and 2,099.00 is: 3,134.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.98 : 3,552.28 = 2,099.00 : x
  2. Step 2: Convert to fraction form
    2,378.98/3,552.28 = 2,099.00/x
  3. Step 3: Cross multiply
    2,378.98x = 3,552.28 × 2,099.00
  4. Step 4: Simplify right side
    2,378.98x = 7,456,235.27
  5. Step 5: Solve for x
    x = 7,456,235.27/2,378.98
  6. Step 6: Final answer
    x = 3,134.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.