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Finding the Fourth Proportional to 2,776.17, 3,830.29 and 1,597.21

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Solution

The fourth proportional to 2,776.17, 3,830.29 and 1,597.21 is: 2,203.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.17 : 3,830.29 = 1,597.21 : x
  2. Step 2: Convert to fraction form
    2,776.17/3,830.29 = 1,597.21/x
  3. Step 3: Cross multiply
    2,776.17x = 3,830.29 × 1,597.21
  4. Step 4: Simplify right side
    2,776.17x = 6,117,777.49
  5. Step 5: Solve for x
    x = 6,117,777.49/2,776.17
  6. Step 6: Final answer
    x = 2,203.68

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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.