Home / 1,502.02-2,252.70-406.48

Finding the Fourth Proportional to 1,502.02, 2,252.70 and 406.48

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Solution

The fourth proportional to 1,502.02, 2,252.70 and 406.48 is: 609.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.02 : 2,252.70 = 406.48 : x
  2. Step 2: Convert to fraction form
    1,502.02/2,252.70 = 406.48/x
  3. Step 3: Cross multiply
    1,502.02x = 2,252.70 × 406.48
  4. Step 4: Simplify right side
    1,502.02x = 915,677.50
  5. Step 5: Solve for x
    x = 915,677.50/1,502.02
  6. Step 6: Final answer
    x = 609.63

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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.