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Finding the Fourth Proportional to 2,774.53, 3,827.87 and 1,780.35

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Solution

The fourth proportional to 2,774.53, 3,827.87 and 1,780.35 is: 2,456.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.53 : 3,827.87 = 1,780.35 : x
  2. Step 2: Convert to fraction form
    2,774.53/3,827.87 = 1,780.35/x
  3. Step 3: Cross multiply
    2,774.53x = 3,827.87 × 1,780.35
  4. Step 4: Simplify right side
    2,774.53x = 6,814,948.35
  5. Step 5: Solve for x
    x = 6,814,948.35/2,774.53
  6. Step 6: Final answer
    x = 2,456.25

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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.