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Finding the Fourth Proportional to 2,646.14, 3,650.20 and 1,806.58

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Solution

The fourth proportional to 2,646.14, 3,650.20 and 1,806.58 is: 2,492.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.14 : 3,650.20 = 1,806.58 : x
  2. Step 2: Convert to fraction form
    2,646.14/3,650.20 = 1,806.58/x
  3. Step 3: Cross multiply
    2,646.14x = 3,650.20 × 1,806.58
  4. Step 4: Simplify right side
    2,646.14x = 6,594,378.32
  5. Step 5: Solve for x
    x = 6,594,378.32/2,646.14
  6. Step 6: Final answer
    x = 2,492.07

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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.