Home / 2,102.64-2,898.36-1,684.68

Finding the Fourth Proportional to 2,102.64, 2,898.36 and 1,684.68

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Solution

The fourth proportional to 2,102.64, 2,898.36 and 1,684.68 is: 2,322.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.64 : 2,898.36 = 1,684.68 : x
  2. Step 2: Convert to fraction form
    2,102.64/2,898.36 = 1,684.68/x
  3. Step 3: Cross multiply
    2,102.64x = 2,898.36 × 1,684.68
  4. Step 4: Simplify right side
    2,102.64x = 4,882,809.12
  5. Step 5: Solve for x
    x = 4,882,809.12/2,102.64
  6. Step 6: Final answer
    x = 2,322.23

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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.