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Finding the Fourth Proportional to 2,776.64, 4,166.78 and 1,021.66

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Solution

The fourth proportional to 2,776.64, 4,166.78 and 1,021.66 is: 1,533.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.64 : 4,166.78 = 1,021.66 : x
  2. Step 2: Convert to fraction form
    2,776.64/4,166.78 = 1,021.66/x
  3. Step 3: Cross multiply
    2,776.64x = 4,166.78 × 1,021.66
  4. Step 4: Simplify right side
    2,776.64x = 4,257,032.45
  5. Step 5: Solve for x
    x = 4,257,032.45/2,776.64
  6. Step 6: Final answer
    x = 1,533.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.