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Finding the Fourth Proportional to 1,402.57, 2,093.66 and 1,287.01

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Solution

The fourth proportional to 1,402.57, 2,093.66 and 1,287.01 is: 1,921.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.57 : 2,093.66 = 1,287.01 : x
  2. Step 2: Convert to fraction form
    1,402.57/2,093.66 = 1,287.01/x
  3. Step 3: Cross multiply
    1,402.57x = 2,093.66 × 1,287.01
  4. Step 4: Simplify right side
    1,402.57x = 2,694,561.36
  5. Step 5: Solve for x
    x = 2,694,561.36/1,402.57
  6. Step 6: Final answer
    x = 1,921.16

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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.