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Finding the Fourth Proportional to 2,774.16, 3,829.24 and 1,782.08

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Solution

The fourth proportional to 2,774.16, 3,829.24 and 1,782.08 is: 2,459.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.16 : 3,829.24 = 1,782.08 : x
  2. Step 2: Convert to fraction form
    2,774.16/3,829.24 = 1,782.08/x
  3. Step 3: Cross multiply
    2,774.16x = 3,829.24 × 1,782.08
  4. Step 4: Simplify right side
    2,774.16x = 6,824,012.02
  5. Step 5: Solve for x
    x = 6,824,012.02/2,774.16
  6. Step 6: Final answer
    x = 2,459.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.