Home / 1,604.14-2,212.75-974.35

Finding the Fourth Proportional to 1,604.14, 2,212.75 and 974.35

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Solution

The fourth proportional to 1,604.14, 2,212.75 and 974.35 is: 1,344.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.14 : 2,212.75 = 974.35 : x
  2. Step 2: Convert to fraction form
    1,604.14/2,212.75 = 974.35/x
  3. Step 3: Cross multiply
    1,604.14x = 2,212.75 × 974.35
  4. Step 4: Simplify right side
    1,604.14x = 2,155,979.46
  5. Step 5: Solve for x
    x = 2,155,979.46/1,604.14
  6. Step 6: Final answer
    x = 1,344.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.