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Finding the Fourth Proportional to 2,596.58, 3,574.53 and 2,347.16

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Solution

The fourth proportional to 2,596.58, 3,574.53 and 2,347.16 is: 3,231.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.58 : 3,574.53 = 2,347.16 : x
  2. Step 2: Convert to fraction form
    2,596.58/3,574.53 = 2,347.16/x
  3. Step 3: Cross multiply
    2,596.58x = 3,574.53 × 2,347.16
  4. Step 4: Simplify right side
    2,596.58x = 8,389,993.83
  5. Step 5: Solve for x
    x = 8,389,993.83/2,596.58
  6. Step 6: Final answer
    x = 3,231.17

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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.