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Finding the Fourth Proportional to 2,606.10, 3,603.36 and 2,278.08

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Solution

The fourth proportional to 2,606.10, 3,603.36 and 2,278.08 is: 3,149.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.10 : 3,603.36 = 2,278.08 : x
  2. Step 2: Convert to fraction form
    2,606.10/3,603.36 = 2,278.08/x
  3. Step 3: Cross multiply
    2,606.10x = 3,603.36 × 2,278.08
  4. Step 4: Simplify right side
    2,606.10x = 8,208,742.35
  5. Step 5: Solve for x
    x = 8,208,742.35/2,606.10
  6. Step 6: Final answer
    x = 3,149.82

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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.