Home / 1,401.24-2,102.34-524.01

Finding the Fourth Proportional to 1,401.24, 2,102.34 and 524.01

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Solution

The fourth proportional to 1,401.24, 2,102.34 and 524.01 is: 786.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.24 : 2,102.34 = 524.01 : x
  2. Step 2: Convert to fraction form
    1,401.24/2,102.34 = 524.01/x
  3. Step 3: Cross multiply
    1,401.24x = 2,102.34 × 524.01
  4. Step 4: Simplify right side
    1,401.24x = 1,101,647.18
  5. Step 5: Solve for x
    x = 1,101,647.18/1,401.24
  6. Step 6: Final answer
    x = 786.19

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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.