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Finding the Fourth Proportional to 2,909.12, 4,361.40 and 1,814

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Solution

The fourth proportional to 2,909.12, 4,361.40 and 1,814 is: 2,719.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.12 : 4,361.40 = 1,814 : x
  2. Step 2: Convert to fraction form
    2,909.12/4,361.40 = 1,814/x
  3. Step 3: Cross multiply
    2,909.12x = 4,361.40 × 1,814
  4. Step 4: Simplify right side
    2,909.12x = 7,911,579.60
  5. Step 5: Solve for x
    x = 7,911,579.60/2,909.12
  6. Step 6: Final answer
    x = 2,719.58

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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.