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Finding the Fourth Proportional to 2,476.33, 3,714.51 and 602.21

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Solution

The fourth proportional to 2,476.33, 3,714.51 and 602.21 is: 903.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.33 : 3,714.51 = 602.21 : x
  2. Step 2: Convert to fraction form
    2,476.33/3,714.51 = 602.21/x
  3. Step 3: Cross multiply
    2,476.33x = 3,714.51 × 602.21
  4. Step 4: Simplify right side
    2,476.33x = 2,236,922.85
  5. Step 5: Solve for x
    x = 2,236,922.85/2,476.33
  6. Step 6: Final answer
    x = 903.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.