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Finding the Fourth Proportional to 1,849.29, 2,773.19 and 616.47

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Solution

The fourth proportional to 1,849.29, 2,773.19 and 616.47 is: 924.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849.29 : 2,773.19 = 616.47 : x
  2. Step 2: Convert to fraction form
    1,849.29/2,773.19 = 616.47/x
  3. Step 3: Cross multiply
    1,849.29x = 2,773.19 × 616.47
  4. Step 4: Simplify right side
    1,849.29x = 1,709,585.36
  5. Step 5: Solve for x
    x = 1,709,585.36/1,849.29
  6. Step 6: Final answer
    x = 924.45

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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.