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Finding the Fourth Proportional to 2,596.61, 3,891.67 and 1,298.45

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Solution

The fourth proportional to 2,596.61, 3,891.67 and 1,298.45 is: 1,946.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.61 : 3,891.67 = 1,298.45 : x
  2. Step 2: Convert to fraction form
    2,596.61/3,891.67 = 1,298.45/x
  3. Step 3: Cross multiply
    2,596.61x = 3,891.67 × 1,298.45
  4. Step 4: Simplify right side
    2,596.61x = 5,053,116.21
  5. Step 5: Solve for x
    x = 5,053,116.21/2,596.61
  6. Step 6: Final answer
    x = 1,946.05

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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.