Home / 1,975.28-2,964.75-1,002.08

Finding the Fourth Proportional to 1,975.28, 2,964.75 and 1,002.08

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Solution

The fourth proportional to 1,975.28, 2,964.75 and 1,002.08 is: 1,504.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975.28 : 2,964.75 = 1,002.08 : x
  2. Step 2: Convert to fraction form
    1,975.28/2,964.75 = 1,002.08/x
  3. Step 3: Cross multiply
    1,975.28x = 2,964.75 × 1,002.08
  4. Step 4: Simplify right side
    1,975.28x = 2,970,916.68
  5. Step 5: Solve for x
    x = 2,970,916.68/1,975.28
  6. Step 6: Final answer
    x = 1,504.05

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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.