Home / 1,582.40-2,361.92-1,388

Finding the Fourth Proportional to 1,582.40, 2,361.92 and 1,388

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Solution

The fourth proportional to 1,582.40, 2,361.92 and 1,388 is: 2,071.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.40 : 2,361.92 = 1,388 : x
  2. Step 2: Convert to fraction form
    1,582.40/2,361.92 = 1,388/x
  3. Step 3: Cross multiply
    1,582.40x = 2,361.92 × 1,388
  4. Step 4: Simplify right side
    1,582.40x = 3,278,344.96
  5. Step 5: Solve for x
    x = 3,278,344.96/1,582.40
  6. Step 6: Final answer
    x = 2,071.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.