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Finding the Fourth Proportional to 1,972.99, 2,959.49 and 803.01

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Solution

The fourth proportional to 1,972.99, 2,959.49 and 803.01 is: 1,204.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.99 : 2,959.49 = 803.01 : x
  2. Step 2: Convert to fraction form
    1,972.99/2,959.49 = 803.01/x
  3. Step 3: Cross multiply
    1,972.99x = 2,959.49 × 803.01
  4. Step 4: Simplify right side
    1,972.99x = 2,376,502.07
  5. Step 5: Solve for x
    x = 2,376,502.07/1,972.99
  6. Step 6: Final answer
    x = 1,204.52

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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.