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Finding the Fourth Proportional to 1,403.34, 2,102.59 and 991.79

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Solution

The fourth proportional to 1,403.34, 2,102.59 and 991.79 is: 1,485.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.34 : 2,102.59 = 991.79 : x
  2. Step 2: Convert to fraction form
    1,403.34/2,102.59 = 991.79/x
  3. Step 3: Cross multiply
    1,403.34x = 2,102.59 × 991.79
  4. Step 4: Simplify right side
    1,403.34x = 2,085,327.74
  5. Step 5: Solve for x
    x = 2,085,327.74/1,403.34
  6. Step 6: Final answer
    x = 1,485.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.