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Finding the Fourth Proportional to 1,424.01, 2,133.93 and 1,013.97

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Solution

The fourth proportional to 1,424.01, 2,133.93 and 1,013.97 is: 1,519.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.01 : 2,133.93 = 1,013.97 : x
  2. Step 2: Convert to fraction form
    1,424.01/2,133.93 = 1,013.97/x
  3. Step 3: Cross multiply
    1,424.01x = 2,133.93 × 1,013.97
  4. Step 4: Simplify right side
    1,424.01x = 2,163,741.00
  5. Step 5: Solve for x
    x = 2,163,741.00/1,424.01
  6. Step 6: Final answer
    x = 1,519.47

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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.