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Finding the Fourth Proportional to 1,558.83, 2,151.60 and 921.33

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Solution

The fourth proportional to 1,558.83, 2,151.60 and 921.33 is: 1,271.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,558.83 : 2,151.60 = 921.33 : x
  2. Step 2: Convert to fraction form
    1,558.83/2,151.60 = 921.33/x
  3. Step 3: Cross multiply
    1,558.83x = 2,151.60 × 921.33
  4. Step 4: Simplify right side
    1,558.83x = 1,982,333.63
  5. Step 5: Solve for x
    x = 1,982,333.63/1,558.83
  6. Step 6: Final answer
    x = 1,271.68

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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.