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Finding the Fourth Proportional to 1,356.76, 1,871.56 and 1,006.84

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Solution

The fourth proportional to 1,356.76, 1,871.56 and 1,006.84 is: 1,388.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.76 : 1,871.56 = 1,006.84 : x
  2. Step 2: Convert to fraction form
    1,356.76/1,871.56 = 1,006.84/x
  3. Step 3: Cross multiply
    1,356.76x = 1,871.56 × 1,006.84
  4. Step 4: Simplify right side
    1,356.76x = 1,884,361.47
  5. Step 5: Solve for x
    x = 1,884,361.47/1,356.76
  6. Step 6: Final answer
    x = 1,388.87

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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.