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Finding the Fourth Proportional to 2,655.90, 4,003.74 and 2,477.51

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Solution

The fourth proportional to 2,655.90, 4,003.74 and 2,477.51 is: 3,734.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.90 : 4,003.74 = 2,477.51 : x
  2. Step 2: Convert to fraction form
    2,655.90/4,003.74 = 2,477.51/x
  3. Step 3: Cross multiply
    2,655.90x = 4,003.74 × 2,477.51
  4. Step 4: Simplify right side
    2,655.90x = 9,919,285.87
  5. Step 5: Solve for x
    x = 9,919,285.87/2,655.90
  6. Step 6: Final answer
    x = 3,734.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.