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Finding the Fourth Proportional to 2,102.81, 2,897.28 and 1,402.97

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Solution

The fourth proportional to 2,102.81, 2,897.28 and 1,402.97 is: 1,933.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.81 : 2,897.28 = 1,402.97 : x
  2. Step 2: Convert to fraction form
    2,102.81/2,897.28 = 1,402.97/x
  3. Step 3: Cross multiply
    2,102.81x = 2,897.28 × 1,402.97
  4. Step 4: Simplify right side
    2,102.81x = 4,064,782.44
  5. Step 5: Solve for x
    x = 4,064,782.44/2,102.81
  6. Step 6: Final answer
    x = 1,933.03

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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.