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Finding the Fourth Proportional to 1,926.24, 2,657.76 and 1,098.24

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Solution

The fourth proportional to 1,926.24, 2,657.76 and 1,098.24 is: 1,515.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,926.24 : 2,657.76 = 1,098.24 : x
  2. Step 2: Convert to fraction form
    1,926.24/2,657.76 = 1,098.24/x
  3. Step 3: Cross multiply
    1,926.24x = 2,657.76 × 1,098.24
  4. Step 4: Simplify right side
    1,926.24x = 2,918,858.34
  5. Step 5: Solve for x
    x = 2,918,858.34/1,926.24
  6. Step 6: Final answer
    x = 1,515.31

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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.