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Finding the Fourth Proportional to 1,812.80, 2,501.67 and 1,026.84

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Solution

The fourth proportional to 1,812.80, 2,501.67 and 1,026.84 is: 1,417.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,812.80 : 2,501.67 = 1,026.84 : x
  2. Step 2: Convert to fraction form
    1,812.80/2,501.67 = 1,026.84/x
  3. Step 3: Cross multiply
    1,812.80x = 2,501.67 × 1,026.84
  4. Step 4: Simplify right side
    1,812.80x = 2,568,822.28
  5. Step 5: Solve for x
    x = 2,568,822.28/1,812.80
  6. Step 6: Final answer
    x = 1,417.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.