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Finding the Fourth Proportional to 2,596.91, 3,583.61 and 1,477.95

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Solution

The fourth proportional to 2,596.91, 3,583.61 and 1,477.95 is: 2,039.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.91 : 3,583.61 = 1,477.95 : x
  2. Step 2: Convert to fraction form
    2,596.91/3,583.61 = 1,477.95/x
  3. Step 3: Cross multiply
    2,596.91x = 3,583.61 × 1,477.95
  4. Step 4: Simplify right side
    2,596.91x = 5,296,381.11
  5. Step 5: Solve for x
    x = 5,296,381.11/2,596.91
  6. Step 6: Final answer
    x = 2,039.49

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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.