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Finding the Fourth Proportional to 1,501.84, 2,252.58 and 406.31

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Solution

The fourth proportional to 1,501.84, 2,252.58 and 406.31 is: 609.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501.84 : 2,252.58 = 406.31 : x
  2. Step 2: Convert to fraction form
    1,501.84/2,252.58 = 406.31/x
  3. Step 3: Cross multiply
    1,501.84x = 2,252.58 × 406.31
  4. Step 4: Simplify right side
    1,501.84x = 915,245.78
  5. Step 5: Solve for x
    x = 915,245.78/1,501.84
  6. Step 6: Final answer
    x = 609.42

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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.