Home / 1,830.87-2,743.74-1,009.53

Finding the Fourth Proportional to 1,830.87, 2,743.74 and 1,009.53

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Solution

The fourth proportional to 1,830.87, 2,743.74 and 1,009.53 is: 1,512.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.87 : 2,743.74 = 1,009.53 : x
  2. Step 2: Convert to fraction form
    1,830.87/2,743.74 = 1,009.53/x
  3. Step 3: Cross multiply
    1,830.87x = 2,743.74 × 1,009.53
  4. Step 4: Simplify right side
    1,830.87x = 2,769,887.84
  5. Step 5: Solve for x
    x = 2,769,887.84/1,830.87
  6. Step 6: Final answer
    x = 1,512.88

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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.