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Finding the Fourth Proportional to 1,531.67, 2,113.69 and 833.05

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Solution

The fourth proportional to 1,531.67, 2,113.69 and 833.05 is: 1,149.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.67 : 2,113.69 = 833.05 : x
  2. Step 2: Convert to fraction form
    1,531.67/2,113.69 = 833.05/x
  3. Step 3: Cross multiply
    1,531.67x = 2,113.69 × 833.05
  4. Step 4: Simplify right side
    1,531.67x = 1,760,798.89
  5. Step 5: Solve for x
    x = 1,760,798.89/1,531.67
  6. Step 6: Final answer
    x = 1,149.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.