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Finding the Fourth Proportional to 1,340.33, 2,010.49 and 366.43

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Solution

The fourth proportional to 1,340.33, 2,010.49 and 366.43 is: 549.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.33 : 2,010.49 = 366.43 : x
  2. Step 2: Convert to fraction form
    1,340.33/2,010.49 = 366.43/x
  3. Step 3: Cross multiply
    1,340.33x = 2,010.49 × 366.43
  4. Step 4: Simplify right side
    1,340.33x = 736,703.85
  5. Step 5: Solve for x
    x = 736,703.85/1,340.33
  6. Step 6: Final answer
    x = 549.64

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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.