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Finding the Fourth Proportional to 1,978.16, 2,964.50 and 1,246.44

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Solution

The fourth proportional to 1,978.16, 2,964.50 and 1,246.44 is: 1,867.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.16 : 2,964.50 = 1,246.44 : x
  2. Step 2: Convert to fraction form
    1,978.16/2,964.50 = 1,246.44/x
  3. Step 3: Cross multiply
    1,978.16x = 2,964.50 × 1,246.44
  4. Step 4: Simplify right side
    1,978.16x = 3,695,071.38
  5. Step 5: Solve for x
    x = 3,695,071.38/1,978.16
  6. Step 6: Final answer
    x = 1,867.93

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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.