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Finding the Fourth Proportional to 1,542.63, 2,128.64 and 982.87

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Solution

The fourth proportional to 1,542.63, 2,128.64 and 982.87 is: 1,356.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.63 : 2,128.64 = 982.87 : x
  2. Step 2: Convert to fraction form
    1,542.63/2,128.64 = 982.87/x
  3. Step 3: Cross multiply
    1,542.63x = 2,128.64 × 982.87
  4. Step 4: Simplify right side
    1,542.63x = 2,092,176.40
  5. Step 5: Solve for x
    x = 2,092,176.40/1,542.63
  6. Step 6: Final answer
    x = 1,356.24

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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.