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Finding the Fourth Proportional to 3,232.55, 4,848.80 and 1,284.30

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Solution

The fourth proportional to 3,232.55, 4,848.80 and 1,284.30 is: 1,926.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,232.55 : 4,848.80 = 1,284.30 : x
  2. Step 2: Convert to fraction form
    3,232.55/4,848.80 = 1,284.30/x
  3. Step 3: Cross multiply
    3,232.55x = 4,848.80 × 1,284.30
  4. Step 4: Simplify right side
    3,232.55x = 6,227,307.42
  5. Step 5: Solve for x
    x = 6,227,307.42/3,232.55
  6. Step 6: Final answer
    x = 1,926.44

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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.