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Finding the Fourth Proportional to 2,773.52, 3,827.35 and 1,514.53

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Solution

The fourth proportional to 2,773.52, 3,827.35 and 1,514.53 is: 2,089.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.52 : 3,827.35 = 1,514.53 : x
  2. Step 2: Convert to fraction form
    2,773.52/3,827.35 = 1,514.53/x
  3. Step 3: Cross multiply
    2,773.52x = 3,827.35 × 1,514.53
  4. Step 4: Simplify right side
    2,773.52x = 5,796,643.07
  5. Step 5: Solve for x
    x = 5,796,643.07/2,773.52
  6. Step 6: Final answer
    x = 2,089.99

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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.