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Finding the Fourth Proportional to 2,840.80, 4,256.40 and 1,866.40

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Solution

The fourth proportional to 2,840.80, 4,256.40 and 1,866.40 is: 2,796.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,840.80 : 4,256.40 = 1,866.40 : x
  2. Step 2: Convert to fraction form
    2,840.80/4,256.40 = 1,866.40/x
  3. Step 3: Cross multiply
    2,840.80x = 4,256.40 × 1,866.40
  4. Step 4: Simplify right side
    2,840.80x = 7,944,144.96
  5. Step 5: Solve for x
    x = 7,944,144.96/2,840.80
  6. Step 6: Final answer
    x = 2,796.45

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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.