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Finding the Fourth Proportional to 2,210.36, 3,315.33 and 749.34

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Solution

The fourth proportional to 2,210.36, 3,315.33 and 749.34 is: 1,123.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210.36 : 3,315.33 = 749.34 : x
  2. Step 2: Convert to fraction form
    2,210.36/3,315.33 = 749.34/x
  3. Step 3: Cross multiply
    2,210.36x = 3,315.33 × 749.34
  4. Step 4: Simplify right side
    2,210.36x = 2,484,309.38
  5. Step 5: Solve for x
    x = 2,484,309.38/2,210.36
  6. Step 6: Final answer
    x = 1,123.94

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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.