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Finding the Fourth Proportional to 2,596.66, 3,583.44 and 1,417.84

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Solution

The fourth proportional to 2,596.66, 3,583.44 and 1,417.84 is: 1,956.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.66 : 3,583.44 = 1,417.84 : x
  2. Step 2: Convert to fraction form
    2,596.66/3,583.44 = 1,417.84/x
  3. Step 3: Cross multiply
    2,596.66x = 3,583.44 × 1,417.84
  4. Step 4: Simplify right side
    2,596.66x = 5,080,735.61
  5. Step 5: Solve for x
    x = 5,080,735.61/2,596.66
  6. Step 6: Final answer
    x = 1,956.64

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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.