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Finding the Fourth Proportional to 2,070.73, 3,106.09 and 1,457.18

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Solution

The fourth proportional to 2,070.73, 3,106.09 and 1,457.18 is: 2,185.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.73 : 3,106.09 = 1,457.18 : x
  2. Step 2: Convert to fraction form
    2,070.73/3,106.09 = 1,457.18/x
  3. Step 3: Cross multiply
    2,070.73x = 3,106.09 × 1,457.18
  4. Step 4: Simplify right side
    2,070.73x = 4,526,113.05
  5. Step 5: Solve for x
    x = 4,526,113.05/2,070.73
  6. Step 6: Final answer
    x = 2,185.76

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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.