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Finding the Fourth Proportional to 3,284.40, 4,926.18 and 975.90

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Solution

The fourth proportional to 3,284.40, 4,926.18 and 975.90 is: 1,463.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,284.40 : 4,926.18 = 975.90 : x
  2. Step 2: Convert to fraction form
    3,284.40/4,926.18 = 975.90/x
  3. Step 3: Cross multiply
    3,284.40x = 4,926.18 × 975.90
  4. Step 4: Simplify right side
    3,284.40x = 4,807,459.06
  5. Step 5: Solve for x
    x = 4,807,459.06/3,284.40
  6. Step 6: Final answer
    x = 1,463.73

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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.