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Finding the Fourth Proportional to 2,596.59, 3,583.20 and 1,417.66

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Solution

The fourth proportional to 2,596.59, 3,583.20 and 1,417.66 is: 1,956.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.59 : 3,583.20 = 1,417.66 : x
  2. Step 2: Convert to fraction form
    2,596.59/3,583.20 = 1,417.66/x
  3. Step 3: Cross multiply
    2,596.59x = 3,583.20 × 1,417.66
  4. Step 4: Simplify right side
    2,596.59x = 5,079,759.31
  5. Step 5: Solve for x
    x = 5,079,759.31/2,596.59
  6. Step 6: Final answer
    x = 1,956.32

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