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Finding the Fourth Proportional to 2,210.81, 3,315.98 and 749.88

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Solution

The fourth proportional to 2,210.81, 3,315.98 and 749.88 is: 1,124.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210.81 : 3,315.98 = 749.88 : x
  2. Step 2: Convert to fraction form
    2,210.81/3,315.98 = 749.88/x
  3. Step 3: Cross multiply
    2,210.81x = 3,315.98 × 749.88
  4. Step 4: Simplify right side
    2,210.81x = 2,486,583.33
  5. Step 5: Solve for x
    x = 2,486,583.33/2,210.81
  6. Step 6: Final answer
    x = 1,124.74

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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.