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Finding the Fourth Proportional to 2,210.10, 3,315.02 and 749.27

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Solution

The fourth proportional to 2,210.10, 3,315.02 and 749.27 is: 1,123.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210.10 : 3,315.02 = 749.27 : x
  2. Step 2: Convert to fraction form
    2,210.10/3,315.02 = 749.27/x
  3. Step 3: Cross multiply
    2,210.10x = 3,315.02 × 749.27
  4. Step 4: Simplify right side
    2,210.10x = 2,483,824.71
  5. Step 5: Solve for x
    x = 2,483,824.71/2,210.10
  6. Step 6: Final answer
    x = 1,123.85

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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.