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Finding the Fourth Proportional to 2,596.37, 3,583.10 and 1,417.44

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Solution

The fourth proportional to 2,596.37, 3,583.10 and 1,417.44 is: 1,956.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.37 : 3,583.10 = 1,417.44 : x
  2. Step 2: Convert to fraction form
    2,596.37/3,583.10 = 1,417.44/x
  3. Step 3: Cross multiply
    2,596.37x = 3,583.10 × 1,417.44
  4. Step 4: Simplify right side
    2,596.37x = 5,078,822.18
  5. Step 5: Solve for x
    x = 5,078,822.18/2,596.37
  6. Step 6: Final answer
    x = 1,956.13

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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.