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Finding the Fourth Proportional to 3,101.92, 4,649.62 and 1,457.12

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Solution

The fourth proportional to 3,101.92, 4,649.62 and 1,457.12 is: 2,184.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.92 : 4,649.62 = 1,457.12 : x
  2. Step 2: Convert to fraction form
    3,101.92/4,649.62 = 1,457.12/x
  3. Step 3: Cross multiply
    3,101.92x = 4,649.62 × 1,457.12
  4. Step 4: Simplify right side
    3,101.92x = 6,775,054.29
  5. Step 5: Solve for x
    x = 6,775,054.29/3,101.92
  6. Step 6: Final answer
    x = 2,184.15

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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.