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Finding the Fourth Proportional to 3,284.76, 4,927.98 and 976.28

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Solution

The fourth proportional to 3,284.76, 4,927.98 and 976.28 is: 1,464.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,284.76 : 4,927.98 = 976.28 : x
  2. Step 2: Convert to fraction form
    3,284.76/4,927.98 = 976.28/x
  3. Step 3: Cross multiply
    3,284.76x = 4,927.98 × 976.28
  4. Step 4: Simplify right side
    3,284.76x = 4,811,088.31
  5. Step 5: Solve for x
    x = 4,811,088.31/3,284.76
  6. Step 6: Final answer
    x = 1,464.67

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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.