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Finding the Fourth Proportional to 2,596.52, 3,583.20 and 1,417.65

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Solution

The fourth proportional to 2,596.52, 3,583.20 and 1,417.65 is: 1,956.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.52 : 3,583.20 = 1,417.65 : x
  2. Step 2: Convert to fraction form
    2,596.52/3,583.20 = 1,417.65/x
  3. Step 3: Cross multiply
    2,596.52x = 3,583.20 × 1,417.65
  4. Step 4: Simplify right side
    2,596.52x = 5,079,723.48
  5. Step 5: Solve for x
    x = 5,079,723.48/2,596.52
  6. Step 6: Final answer
    x = 1,956.36

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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.