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Finding the Fourth Proportional to 2,128.27, 2,936.17 and 1,570.08

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Solution

The fourth proportional to 2,128.27, 2,936.17 and 1,570.08 is: 2,166.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.27 : 2,936.17 = 1,570.08 : x
  2. Step 2: Convert to fraction form
    2,128.27/2,936.17 = 1,570.08/x
  3. Step 3: Cross multiply
    2,128.27x = 2,936.17 × 1,570.08
  4. Step 4: Simplify right side
    2,128.27x = 4,610,021.79
  5. Step 5: Solve for x
    x = 4,610,021.79/2,128.27
  6. Step 6: Final answer
    x = 2,166.09

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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.