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Finding the Fourth Proportional to 2,344.55, 3,235.89 and 1,784.12

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Solution

The fourth proportional to 2,344.55, 3,235.89 and 1,784.12 is: 2,462.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,344.55 : 3,235.89 = 1,784.12 : x
  2. Step 2: Convert to fraction form
    2,344.55/3,235.89 = 1,784.12/x
  3. Step 3: Cross multiply
    2,344.55x = 3,235.89 × 1,784.12
  4. Step 4: Simplify right side
    2,344.55x = 5,773,216.07
  5. Step 5: Solve for x
    x = 5,773,216.07/2,344.55
  6. Step 6: Final answer
    x = 2,462.40

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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.