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Finding the Fourth Proportional to 1,849.04, 2,773.26 and 616.16

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Solution

The fourth proportional to 1,849.04, 2,773.26 and 616.16 is: 924.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849.04 : 2,773.26 = 616.16 : x
  2. Step 2: Convert to fraction form
    1,849.04/2,773.26 = 616.16/x
  3. Step 3: Cross multiply
    1,849.04x = 2,773.26 × 616.16
  4. Step 4: Simplify right side
    1,849.04x = 1,708,771.88
  5. Step 5: Solve for x
    x = 1,708,771.88/1,849.04
  6. Step 6: Final answer
    x = 924.14

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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.