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Finding the Fourth Proportional to 1,551.47, 2,141.36 and 983.94

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Solution

The fourth proportional to 1,551.47, 2,141.36 and 983.94 is: 1,358.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,551.47 : 2,141.36 = 983.94 : x
  2. Step 2: Convert to fraction form
    1,551.47/2,141.36 = 983.94/x
  3. Step 3: Cross multiply
    1,551.47x = 2,141.36 × 983.94
  4. Step 4: Simplify right side
    1,551.47x = 2,106,959.49
  5. Step 5: Solve for x
    x = 2,106,959.49/1,551.47
  6. Step 6: Final answer
    x = 1,358.04

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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.