Home / 1,410.01-2,112.62-997.13

Finding the Fourth Proportional to 1,410.01, 2,112.62 and 997.13

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Solution

The fourth proportional to 1,410.01, 2,112.62 and 997.13 is: 1,493.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.01 : 2,112.62 = 997.13 : x
  2. Step 2: Convert to fraction form
    1,410.01/2,112.62 = 997.13/x
  3. Step 3: Cross multiply
    1,410.01x = 2,112.62 × 997.13
  4. Step 4: Simplify right side
    1,410.01x = 2,106,541.23
  5. Step 5: Solve for x
    x = 2,106,541.23/1,410.01
  6. Step 6: Final answer
    x = 1,493.99

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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.