Home / 1,564.40-2,344.96-741.69

Finding the Fourth Proportional to 1,564.40, 2,344.96 and 741.69

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Solution

The fourth proportional to 1,564.40, 2,344.96 and 741.69 is: 1,111.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.40 : 2,344.96 = 741.69 : x
  2. Step 2: Convert to fraction form
    1,564.40/2,344.96 = 741.69/x
  3. Step 3: Cross multiply
    1,564.40x = 2,344.96 × 741.69
  4. Step 4: Simplify right side
    1,564.40x = 1,739,234.31
  5. Step 5: Solve for x
    x = 1,739,234.31/1,564.40
  6. Step 6: Final answer
    x = 1,111.76

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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.