Home / 2,358.12-3,537.09-971.07

Finding the Fourth Proportional to 2,358.12, 3,537.09 and 971.07

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Solution

The fourth proportional to 2,358.12, 3,537.09 and 971.07 is: 1,456.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.12 : 3,537.09 = 971.07 : x
  2. Step 2: Convert to fraction form
    2,358.12/3,537.09 = 971.07/x
  3. Step 3: Cross multiply
    2,358.12x = 3,537.09 × 971.07
  4. Step 4: Simplify right side
    2,358.12x = 3,434,761.99
  5. Step 5: Solve for x
    x = 3,434,761.99/2,358.12
  6. Step 6: Final answer
    x = 1,456.57

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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.