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Finding the Fourth Proportional to 1,820.70, 2,717.10 and 1,407.60

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Solution

The fourth proportional to 1,820.70, 2,717.10 and 1,407.60 is: 2,100.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.70 : 2,717.10 = 1,407.60 : x
  2. Step 2: Convert to fraction form
    1,820.70/2,717.10 = 1,407.60/x
  3. Step 3: Cross multiply
    1,820.70x = 2,717.10 × 1,407.60
  4. Step 4: Simplify right side
    1,820.70x = 3,824,589.96
  5. Step 5: Solve for x
    x = 3,824,589.96/1,820.70
  6. Step 6: Final answer
    x = 2,100.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.