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Finding the Fourth Proportional to 2,884.95, 4,327.56 and 1,405.53

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Solution

The fourth proportional to 2,884.95, 4,327.56 and 1,405.53 is: 2,108.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.95 : 4,327.56 = 1,405.53 : x
  2. Step 2: Convert to fraction form
    2,884.95/4,327.56 = 1,405.53/x
  3. Step 3: Cross multiply
    2,884.95x = 4,327.56 × 1,405.53
  4. Step 4: Simplify right side
    2,884.95x = 6,082,515.41
  5. Step 5: Solve for x
    x = 6,082,515.41/2,884.95
  6. Step 6: Final answer
    x = 2,108.36

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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.