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Finding the Fourth Proportional to 1,959.69, 2,937.48 and 1,219.32

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Solution

The fourth proportional to 1,959.69, 2,937.48 and 1,219.32 is: 1,827.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959.69 : 2,937.48 = 1,219.32 : x
  2. Step 2: Convert to fraction form
    1,959.69/2,937.48 = 1,219.32/x
  3. Step 3: Cross multiply
    1,959.69x = 2,937.48 × 1,219.32
  4. Step 4: Simplify right side
    1,959.69x = 3,581,728.11
  5. Step 5: Solve for x
    x = 3,581,728.11/1,959.69
  6. Step 6: Final answer
    x = 1,827.70

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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.