Home / 2,208.47-3,313.56-975.01

Finding the Fourth Proportional to 2,208.47, 3,313.56 and 975.01

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Solution

The fourth proportional to 2,208.47, 3,313.56 and 975.01 is: 1,462.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.47 : 3,313.56 = 975.01 : x
  2. Step 2: Convert to fraction form
    2,208.47/3,313.56 = 975.01/x
  3. Step 3: Cross multiply
    2,208.47x = 3,313.56 × 975.01
  4. Step 4: Simplify right side
    2,208.47x = 3,230,754.14
  5. Step 5: Solve for x
    x = 3,230,754.14/2,208.47
  6. Step 6: Final answer
    x = 1,462.89

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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.