Home / 1,582.63-2,374.43-1,121.30

Finding the Fourth Proportional to 1,582.63, 2,374.43 and 1,121.30

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Solution

The fourth proportional to 1,582.63, 2,374.43 and 1,121.30 is: 1,682.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.63 : 2,374.43 = 1,121.30 : x
  2. Step 2: Convert to fraction form
    1,582.63/2,374.43 = 1,121.30/x
  3. Step 3: Cross multiply
    1,582.63x = 2,374.43 × 1,121.30
  4. Step 4: Simplify right side
    1,582.63x = 2,662,448.69
  5. Step 5: Solve for x
    x = 2,662,448.69/1,582.63
  6. Step 6: Final answer
    x = 1,682.29

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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.