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Finding the Fourth Proportional to 2,774.83, 3,829.10 and 1,515.63

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Solution

The fourth proportional to 2,774.83, 3,829.10 and 1,515.63 is: 2,091.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.83 : 3,829.10 = 1,515.63 : x
  2. Step 2: Convert to fraction form
    2,774.83/3,829.10 = 1,515.63/x
  3. Step 3: Cross multiply
    2,774.83x = 3,829.10 × 1,515.63
  4. Step 4: Simplify right side
    2,774.83x = 5,803,498.83
  5. Step 5: Solve for x
    x = 5,803,498.83/2,774.83
  6. Step 6: Final answer
    x = 2,091.48

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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.