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Finding the Fourth Proportional to 2,762.22, 4,123.18 and 2,559.18

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Solution

The fourth proportional to 2,762.22, 4,123.18 and 2,559.18 is: 3,820.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.22 : 4,123.18 = 2,559.18 : x
  2. Step 2: Convert to fraction form
    2,762.22/4,123.18 = 2,559.18/x
  3. Step 3: Cross multiply
    2,762.22x = 4,123.18 × 2,559.18
  4. Step 4: Simplify right side
    2,762.22x = 10,551,959.79
  5. Step 5: Solve for x
    x = 10,551,959.79/2,762.22
  6. Step 6: Final answer
    x = 3,820.10

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.