Home / 1,567.34-2,351.70-746.22

Finding the Fourth Proportional to 1,567.34, 2,351.70 and 746.22

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Solution

The fourth proportional to 1,567.34, 2,351.70 and 746.22 is: 1,119.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.34 : 2,351.70 = 746.22 : x
  2. Step 2: Convert to fraction form
    1,567.34/2,351.70 = 746.22/x
  3. Step 3: Cross multiply
    1,567.34x = 2,351.70 × 746.22
  4. Step 4: Simplify right side
    1,567.34x = 1,754,885.57
  5. Step 5: Solve for x
    x = 1,754,885.57/1,567.34
  6. Step 6: Final answer
    x = 1,119.66

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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.