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Finding the Fourth Proportional to 2,600.13, 3,588.16 and 1,421.18

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Solution

The fourth proportional to 2,600.13, 3,588.16 and 1,421.18 is: 1,961.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.13 : 3,588.16 = 1,421.18 : x
  2. Step 2: Convert to fraction form
    2,600.13/3,588.16 = 1,421.18/x
  3. Step 3: Cross multiply
    2,600.13x = 3,588.16 × 1,421.18
  4. Step 4: Simplify right side
    2,600.13x = 5,099,421.23
  5. Step 5: Solve for x
    x = 5,099,421.23/2,600.13
  6. Step 6: Final answer
    x = 1,961.22

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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.