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Finding the Fourth Proportional to 2,611, 3,603.18 and 1,507.64

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Solution

The fourth proportional to 2,611, 3,603.18 and 1,507.64 is: 2,080.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611 : 3,603.18 = 1,507.64 : x
  2. Step 2: Convert to fraction form
    2,611/3,603.18 = 1,507.64/x
  3. Step 3: Cross multiply
    2,611x = 3,603.18 × 1,507.64
  4. Step 4: Simplify right side
    2,611x = 5,432,298.30
  5. Step 5: Solve for x
    x = 5,432,298.30/2,611
  6. Step 6: Final answer
    x = 2,080.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.