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Finding the Fourth Proportional to 1,980.24, 2,953.16 and 1,953.78

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Solution

The fourth proportional to 1,980.24, 2,953.16 and 1,953.78 is: 2,913.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.24 : 2,953.16 = 1,953.78 : x
  2. Step 2: Convert to fraction form
    1,980.24/2,953.16 = 1,953.78/x
  3. Step 3: Cross multiply
    1,980.24x = 2,953.16 × 1,953.78
  4. Step 4: Simplify right side
    1,980.24x = 5,769,824.94
  5. Step 5: Solve for x
    x = 5,769,824.94/1,980.24
  6. Step 6: Final answer
    x = 2,913.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.