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Finding the Fourth Proportional to 2,128.97, 2,937.53 and 1,342.56

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Solution

The fourth proportional to 2,128.97, 2,937.53 and 1,342.56 is: 1,852.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.97 : 2,937.53 = 1,342.56 : x
  2. Step 2: Convert to fraction form
    2,128.97/2,937.53 = 1,342.56/x
  3. Step 3: Cross multiply
    2,128.97x = 2,937.53 × 1,342.56
  4. Step 4: Simplify right side
    2,128.97x = 3,943,810.28
  5. Step 5: Solve for x
    x = 3,943,810.28/2,128.97
  6. Step 6: Final answer
    x = 1,852.45

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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.