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Finding the Fourth Proportional to 2,291.66, 3,162.55 and 1,406.96

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Solution

The fourth proportional to 2,291.66, 3,162.55 and 1,406.96 is: 1,941.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.66 : 3,162.55 = 1,406.96 : x
  2. Step 2: Convert to fraction form
    2,291.66/3,162.55 = 1,406.96/x
  3. Step 3: Cross multiply
    2,291.66x = 3,162.55 × 1,406.96
  4. Step 4: Simplify right side
    2,291.66x = 4,449,581.35
  5. Step 5: Solve for x
    x = 4,449,581.35/2,291.66
  6. Step 6: Final answer
    x = 1,941.64

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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.