Home / 2,564.20-3,538.34-1,516.20

Finding the Fourth Proportional to 2,564.20, 3,538.34 and 1,516.20

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Solution

The fourth proportional to 2,564.20, 3,538.34 and 1,516.20 is: 2,092.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.20 : 3,538.34 = 1,516.20 : x
  2. Step 2: Convert to fraction form
    2,564.20/3,538.34 = 1,516.20/x
  3. Step 3: Cross multiply
    2,564.20x = 3,538.34 × 1,516.20
  4. Step 4: Simplify right side
    2,564.20x = 5,364,831.11
  5. Step 5: Solve for x
    x = 5,364,831.11/2,564.20
  6. Step 6: Final answer
    x = 2,092.20

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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.