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Finding the Fourth Proportional to 2,597.58, 3,896.64 and 2,335.95

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Solution

The fourth proportional to 2,597.58, 3,896.64 and 2,335.95 is: 3,504.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.58 : 3,896.64 = 2,335.95 : x
  2. Step 2: Convert to fraction form
    2,597.58/3,896.64 = 2,335.95/x
  3. Step 3: Cross multiply
    2,597.58x = 3,896.64 × 2,335.95
  4. Step 4: Simplify right side
    2,597.58x = 9,102,356.21
  5. Step 5: Solve for x
    x = 9,102,356.21/2,597.58
  6. Step 6: Final answer
    x = 3,504.17

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Why These Related Problems?

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