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Finding the Fourth Proportional to 2,803.74, 4,206.06 and 954.96

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Solution

The fourth proportional to 2,803.74, 4,206.06 and 954.96 is: 1,432.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.74 : 4,206.06 = 954.96 : x
  2. Step 2: Convert to fraction form
    2,803.74/4,206.06 = 954.96/x
  3. Step 3: Cross multiply
    2,803.74x = 4,206.06 × 954.96
  4. Step 4: Simplify right side
    2,803.74x = 4,016,619.06
  5. Step 5: Solve for x
    x = 4,016,619.06/2,803.74
  6. Step 6: Final answer
    x = 1,432.59

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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.