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Finding the Fourth Proportional to 2,530.40, 3,797.84 and 1,298.64

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Solution

The fourth proportional to 2,530.40, 3,797.84 and 1,298.64 is: 1,949.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,530.40 : 3,797.84 = 1,298.64 : x
  2. Step 2: Convert to fraction form
    2,530.40/3,797.84 = 1,298.64/x
  3. Step 3: Cross multiply
    2,530.40x = 3,797.84 × 1,298.64
  4. Step 4: Simplify right side
    2,530.40x = 4,932,026.94
  5. Step 5: Solve for x
    x = 4,932,026.94/2,530.40
  6. Step 6: Final answer
    x = 1,949.11

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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.