Home / 1,564.52-2,346.78-1,076.09

Finding the Fourth Proportional to 1,564.52, 2,346.78 and 1,076.09

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Solution

The fourth proportional to 1,564.52, 2,346.78 and 1,076.09 is: 1,614.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.52 : 2,346.78 = 1,076.09 : x
  2. Step 2: Convert to fraction form
    1,564.52/2,346.78 = 1,076.09/x
  3. Step 3: Cross multiply
    1,564.52x = 2,346.78 × 1,076.09
  4. Step 4: Simplify right side
    1,564.52x = 2,525,346.49
  5. Step 5: Solve for x
    x = 2,525,346.49/1,564.52
  6. Step 6: Final answer
    x = 1,614.14

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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.