Home / 2,042-3,053.65-1,522.36

Finding the Fourth Proportional to 2,042, 3,053.65 and 1,522.36

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Solution

The fourth proportional to 2,042, 3,053.65 and 1,522.36 is: 2,276.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042 : 3,053.65 = 1,522.36 : x
  2. Step 2: Convert to fraction form
    2,042/3,053.65 = 1,522.36/x
  3. Step 3: Cross multiply
    2,042x = 3,053.65 × 1,522.36
  4. Step 4: Simplify right side
    2,042x = 4,648,754.61
  5. Step 5: Solve for x
    x = 4,648,754.61/2,042
  6. Step 6: Final answer
    x = 2,276.57

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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.