Home / 1,567.12-2,349.97-746.39

Finding the Fourth Proportional to 1,567.12, 2,349.97 and 746.39

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Solution

The fourth proportional to 1,567.12, 2,349.97 and 746.39 is: 1,119.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.12 : 2,349.97 = 746.39 : x
  2. Step 2: Convert to fraction form
    1,567.12/2,349.97 = 746.39/x
  3. Step 3: Cross multiply
    1,567.12x = 2,349.97 × 746.39
  4. Step 4: Simplify right side
    1,567.12x = 1,753,994.11
  5. Step 5: Solve for x
    x = 1,753,994.11/1,567.12
  6. Step 6: Final answer
    x = 1,119.25

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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.