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Finding the Fourth Proportional to 2,062.83, 2,849.06 and 1,398.53

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Solution

The fourth proportional to 2,062.83, 2,849.06 and 1,398.53 is: 1,931.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.83 : 2,849.06 = 1,398.53 : x
  2. Step 2: Convert to fraction form
    2,062.83/2,849.06 = 1,398.53/x
  3. Step 3: Cross multiply
    2,062.83x = 2,849.06 × 1,398.53
  4. Step 4: Simplify right side
    2,062.83x = 3,984,505.24
  5. Step 5: Solve for x
    x = 3,984,505.24/2,062.83
  6. Step 6: Final answer
    x = 1,931.57

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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.