Home / 2,315.64-3,470.46-2,022.42

Finding the Fourth Proportional to 2,315.64, 3,470.46 and 2,022.42

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Solution

The fourth proportional to 2,315.64, 3,470.46 and 2,022.42 is: 3,031.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.64 : 3,470.46 = 2,022.42 : x
  2. Step 2: Convert to fraction form
    2,315.64/3,470.46 = 2,022.42/x
  3. Step 3: Cross multiply
    2,315.64x = 3,470.46 × 2,022.42
  4. Step 4: Simplify right side
    2,315.64x = 7,018,727.71
  5. Step 5: Solve for x
    x = 7,018,727.71/2,315.64
  6. Step 6: Final answer
    x = 3,031.01

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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.