Home / 2,265.40-3,124.74-1,828

Finding the Fourth Proportional to 2,265.40, 3,124.74 and 1,828

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Solution

The fourth proportional to 2,265.40, 3,124.74 and 1,828 is: 2,521.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.40 : 3,124.74 = 1,828 : x
  2. Step 2: Convert to fraction form
    2,265.40/3,124.74 = 1,828/x
  3. Step 3: Cross multiply
    2,265.40x = 3,124.74 × 1,828
  4. Step 4: Simplify right side
    2,265.40x = 5,712,024.72
  5. Step 5: Solve for x
    x = 5,712,024.72/2,265.40
  6. Step 6: Final answer
    x = 2,521.42

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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.