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Finding the Fourth Proportional to 1,663.56, 2,494.08 and 840.96

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Solution

The fourth proportional to 1,663.56, 2,494.08 and 840.96 is: 1,260.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.56 : 2,494.08 = 840.96 : x
  2. Step 2: Convert to fraction form
    1,663.56/2,494.08 = 840.96/x
  3. Step 3: Cross multiply
    1,663.56x = 2,494.08 × 840.96
  4. Step 4: Simplify right side
    1,663.56x = 2,097,421.52
  5. Step 5: Solve for x
    x = 2,097,421.52/1,663.56
  6. Step 6: Final answer
    x = 1,260.80

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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.