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Finding the Fourth Proportional to 1,552.31, 2,141.51 and 962.51

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Solution

The fourth proportional to 1,552.31, 2,141.51 and 962.51 is: 1,327.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.31 : 2,141.51 = 962.51 : x
  2. Step 2: Convert to fraction form
    1,552.31/2,141.51 = 962.51/x
  3. Step 3: Cross multiply
    1,552.31x = 2,141.51 × 962.51
  4. Step 4: Simplify right side
    1,552.31x = 2,061,223.41
  5. Step 5: Solve for x
    x = 2,061,223.41/1,552.31
  6. Step 6: Final answer
    x = 1,327.84

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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.