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Finding the Fourth Proportional to 2,441.51, 3,656.00 and 1,344.66

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Solution

The fourth proportional to 2,441.51, 3,656.00 and 1,344.66 is: 2,013.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.51 : 3,656.00 = 1,344.66 : x
  2. Step 2: Convert to fraction form
    2,441.51/3,656.00 = 1,344.66/x
  3. Step 3: Cross multiply
    2,441.51x = 3,656.00 × 1,344.66
  4. Step 4: Simplify right side
    2,441.51x = 4,916,070.24
  5. Step 5: Solve for x
    x = 4,916,070.24/2,441.51
  6. Step 6: Final answer
    x = 2,013.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.