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Finding the Fourth Proportional to 2,011.44, 2,778.12 and 1,778.16

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Solution

The fourth proportional to 2,011.44, 2,778.12 and 1,778.16 is: 2,455.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.44 : 2,778.12 = 1,778.16 : x
  2. Step 2: Convert to fraction form
    2,011.44/2,778.12 = 1,778.16/x
  3. Step 3: Cross multiply
    2,011.44x = 2,778.12 × 1,778.16
  4. Step 4: Simplify right side
    2,011.44x = 4,939,941.86
  5. Step 5: Solve for x
    x = 4,939,941.86/2,011.44
  6. Step 6: Final answer
    x = 2,455.92

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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.