Home / 2,358.24-3,537.18-971.22

Finding the Fourth Proportional to 2,358.24, 3,537.18 and 971.22

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Solution

The fourth proportional to 2,358.24, 3,537.18 and 971.22 is: 1,456.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.24 : 3,537.18 = 971.22 : x
  2. Step 2: Convert to fraction form
    2,358.24/3,537.18 = 971.22/x
  3. Step 3: Cross multiply
    2,358.24x = 3,537.18 × 971.22
  4. Step 4: Simplify right side
    2,358.24x = 3,435,379.96
  5. Step 5: Solve for x
    x = 3,435,379.96/2,358.24
  6. Step 6: Final answer
    x = 1,456.76

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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.