Home / 1,981.95-2,972.09-1,057.31

Finding the Fourth Proportional to 1,981.95, 2,972.09 and 1,057.31

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Solution

The fourth proportional to 1,981.95, 2,972.09 and 1,057.31 is: 1,585.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.95 : 2,972.09 = 1,057.31 : x
  2. Step 2: Convert to fraction form
    1,981.95/2,972.09 = 1,057.31/x
  3. Step 3: Cross multiply
    1,981.95x = 2,972.09 × 1,057.31
  4. Step 4: Simplify right side
    1,981.95x = 3,142,415.19
  5. Step 5: Solve for x
    x = 3,142,415.19/1,981.95
  6. Step 6: Final answer
    x = 1,585.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.