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Finding the Fourth Proportional to 1,820.60, 2,742.14 and 1,733.12

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Solution

The fourth proportional to 1,820.60, 2,742.14 and 1,733.12 is: 2,610.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.60 : 2,742.14 = 1,733.12 : x
  2. Step 2: Convert to fraction form
    1,820.60/2,742.14 = 1,733.12/x
  3. Step 3: Cross multiply
    1,820.60x = 2,742.14 × 1,733.12
  4. Step 4: Simplify right side
    1,820.60x = 4,752,457.68
  5. Step 5: Solve for x
    x = 4,752,457.68/1,820.60
  6. Step 6: Final answer
    x = 2,610.38

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.