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Finding the Fourth Proportional to 2,597.76, 3,876.57 and 2,320.92

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Solution

The fourth proportional to 2,597.76, 3,876.57 and 2,320.92 is: 3,463.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.76 : 3,876.57 = 2,320.92 : x
  2. Step 2: Convert to fraction form
    2,597.76/3,876.57 = 2,320.92/x
  3. Step 3: Cross multiply
    2,597.76x = 3,876.57 × 2,320.92
  4. Step 4: Simplify right side
    2,597.76x = 8,997,208.84
  5. Step 5: Solve for x
    x = 8,997,208.84/2,597.76
  6. Step 6: Final answer
    x = 3,463.45

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.