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Finding the Fourth Proportional to 2,369.77, 3,274.62 and 2,255.96

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Solution

The fourth proportional to 2,369.77, 3,274.62 and 2,255.96 is: 3,117.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.77 : 3,274.62 = 2,255.96 : x
  2. Step 2: Convert to fraction form
    2,369.77/3,274.62 = 2,255.96/x
  3. Step 3: Cross multiply
    2,369.77x = 3,274.62 × 2,255.96
  4. Step 4: Simplify right side
    2,369.77x = 7,387,411.74
  5. Step 5: Solve for x
    x = 7,387,411.74/2,369.77
  6. Step 6: Final answer
    x = 3,117.35

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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.