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Finding the Fourth Proportional to 2,646.19, 3,652.23 and 2,015.74

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Solution

The fourth proportional to 2,646.19, 3,652.23 and 2,015.74 is: 2,782.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.19 : 3,652.23 = 2,015.74 : x
  2. Step 2: Convert to fraction form
    2,646.19/3,652.23 = 2,015.74/x
  3. Step 3: Cross multiply
    2,646.19x = 3,652.23 × 2,015.74
  4. Step 4: Simplify right side
    2,646.19x = 7,361,946.10
  5. Step 5: Solve for x
    x = 7,361,946.10/2,646.19
  6. Step 6: Final answer
    x = 2,782.09

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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.