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Finding the Fourth Proportional to 2,476.38, 3,714.53 and 602.29

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Solution

The fourth proportional to 2,476.38, 3,714.53 and 602.29 is: 903.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.38 : 3,714.53 = 602.29 : x
  2. Step 2: Convert to fraction form
    2,476.38/3,714.53 = 602.29/x
  3. Step 3: Cross multiply
    2,476.38x = 3,714.53 × 602.29
  4. Step 4: Simplify right side
    2,476.38x = 2,237,216.49
  5. Step 5: Solve for x
    x = 2,237,216.49/2,476.38
  6. Step 6: Final answer
    x = 903.42

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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.