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Finding the Fourth Proportional to 2,226.95, 3,341.19 and 840.68

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Solution

The fourth proportional to 2,226.95, 3,341.19 and 840.68 is: 1,261.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.95 : 3,341.19 = 840.68 : x
  2. Step 2: Convert to fraction form
    2,226.95/3,341.19 = 840.68/x
  3. Step 3: Cross multiply
    2,226.95x = 3,341.19 × 840.68
  4. Step 4: Simplify right side
    2,226.95x = 2,808,871.61
  5. Step 5: Solve for x
    x = 2,808,871.61/2,226.95
  6. Step 6: Final answer
    x = 1,261.31

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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.