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Finding the Fourth Proportional to 1,883.46, 2,596.44 and 1,322.16

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Solution

The fourth proportional to 1,883.46, 2,596.44 and 1,322.16 is: 1,822.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883.46 : 2,596.44 = 1,322.16 : x
  2. Step 2: Convert to fraction form
    1,883.46/2,596.44 = 1,322.16/x
  3. Step 3: Cross multiply
    1,883.46x = 2,596.44 × 1,322.16
  4. Step 4: Simplify right side
    1,883.46x = 3,432,909.11
  5. Step 5: Solve for x
    x = 3,432,909.11/1,883.46
  6. Step 6: Final answer
    x = 1,822.66

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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.