Home / 1,582.74-2,384.10-1,462.46

Finding the Fourth Proportional to 1,582.74, 2,384.10 and 1,462.46

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Solution

The fourth proportional to 1,582.74, 2,384.10 and 1,462.46 is: 2,202.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.74 : 2,384.10 = 1,462.46 : x
  2. Step 2: Convert to fraction form
    1,582.74/2,384.10 = 1,462.46/x
  3. Step 3: Cross multiply
    1,582.74x = 2,384.10 × 1,462.46
  4. Step 4: Simplify right side
    1,582.74x = 3,486,638.97
  5. Step 5: Solve for x
    x = 3,486,638.97/1,582.74
  6. Step 6: Final answer
    x = 2,202.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.