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Finding the Fourth Proportional to 2,803.74, 4,206.39 and 2,497.71

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Solution

The fourth proportional to 2,803.74, 4,206.39 and 2,497.71 is: 3,747.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.74 : 4,206.39 = 2,497.71 : x
  2. Step 2: Convert to fraction form
    2,803.74/4,206.39 = 2,497.71/x
  3. Step 3: Cross multiply
    2,803.74x = 4,206.39 × 2,497.71
  4. Step 4: Simplify right side
    2,803.74x = 10,506,342.37
  5. Step 5: Solve for x
    x = 10,506,342.37/2,803.74
  6. Step 6: Final answer
    x = 3,747.26

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1.5x scale

Why These Related Problems?

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