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Finding the Fourth Proportional to 3,101.90, 4,649.20 and 1,714.57

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Solution

The fourth proportional to 3,101.90, 4,649.20 and 1,714.57 is: 2,569.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.90 : 4,649.20 = 1,714.57 : x
  2. Step 2: Convert to fraction form
    3,101.90/4,649.20 = 1,714.57/x
  3. Step 3: Cross multiply
    3,101.90x = 4,649.20 × 1,714.57
  4. Step 4: Simplify right side
    3,101.90x = 7,971,362.93
  5. Step 5: Solve for x
    x = 7,971,362.93/3,101.90
  6. Step 6: Final answer
    x = 2,569.84

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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.