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Finding the Fourth Proportional to 2,099.68, 2,897.80 and 1,260.66

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Solution

The fourth proportional to 2,099.68, 2,897.80 and 1,260.66 is: 1,739.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.68 : 2,897.80 = 1,260.66 : x
  2. Step 2: Convert to fraction form
    2,099.68/2,897.80 = 1,260.66/x
  3. Step 3: Cross multiply
    2,099.68x = 2,897.80 × 1,260.66
  4. Step 4: Simplify right side
    2,099.68x = 3,653,140.55
  5. Step 5: Solve for x
    x = 3,653,140.55/2,099.68
  6. Step 6: Final answer
    x = 1,739.86

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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.