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Finding the Fourth Proportional to 2,307.42, 3,464.03 and 1,850.88

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Solution

The fourth proportional to 2,307.42, 3,464.03 and 1,850.88 is: 2,778.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.42 : 3,464.03 = 1,850.88 : x
  2. Step 2: Convert to fraction form
    2,307.42/3,464.03 = 1,850.88/x
  3. Step 3: Cross multiply
    2,307.42x = 3,464.03 × 1,850.88
  4. Step 4: Simplify right side
    2,307.42x = 6,411,494.59
  5. Step 5: Solve for x
    x = 6,411,494.59/2,307.42
  6. Step 6: Final answer
    x = 2,778.64

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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.