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Finding the Fourth Proportional to 2,597.13, 3,582 and 2,298.69

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Solution

The fourth proportional to 2,597.13, 3,582 and 2,298.69 is: 3,170.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.13 : 3,582 = 2,298.69 : x
  2. Step 2: Convert to fraction form
    2,597.13/3,582 = 2,298.69/x
  3. Step 3: Cross multiply
    2,597.13x = 3,582 × 2,298.69
  4. Step 4: Simplify right side
    2,597.13x = 8,233,907.58
  5. Step 5: Solve for x
    x = 8,233,907.58/2,597.13
  6. Step 6: Final answer
    x = 3,170.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.