Home / 1,742.58-2,404.70-1,152.09

Finding the Fourth Proportional to 1,742.58, 2,404.70 and 1,152.09

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Solution

The fourth proportional to 1,742.58, 2,404.70 and 1,152.09 is: 1,589.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.58 : 2,404.70 = 1,152.09 : x
  2. Step 2: Convert to fraction form
    1,742.58/2,404.70 = 1,152.09/x
  3. Step 3: Cross multiply
    1,742.58x = 2,404.70 × 1,152.09
  4. Step 4: Simplify right side
    1,742.58x = 2,770,430.82
  5. Step 5: Solve for x
    x = 2,770,430.82/1,742.58
  6. Step 6: Final answer
    x = 1,589.84

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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.