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Finding the Fourth Proportional to 1,430.81, 2,143.62 and 1,201.17

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Solution

The fourth proportional to 1,430.81, 2,143.62 and 1,201.17 is: 1,799.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.81 : 2,143.62 = 1,201.17 : x
  2. Step 2: Convert to fraction form
    1,430.81/2,143.62 = 1,201.17/x
  3. Step 3: Cross multiply
    1,430.81x = 2,143.62 × 1,201.17
  4. Step 4: Simplify right side
    1,430.81x = 2,574,846.03
  5. Step 5: Solve for x
    x = 2,574,846.03/1,430.81
  6. Step 6: Final answer
    x = 1,799.58

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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.