Home / 1,380.13-2,070.51-406.24

Finding the Fourth Proportional to 1,380.13, 2,070.51 and 406.24

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Solution

The fourth proportional to 1,380.13, 2,070.51 and 406.24 is: 609.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.13 : 2,070.51 = 406.24 : x
  2. Step 2: Convert to fraction form
    1,380.13/2,070.51 = 406.24/x
  3. Step 3: Cross multiply
    1,380.13x = 2,070.51 × 406.24
  4. Step 4: Simplify right side
    1,380.13x = 841,123.98
  5. Step 5: Solve for x
    x = 841,123.98/1,380.13
  6. Step 6: Final answer
    x = 609.45

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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.