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Finding the Fourth Proportional to 3,182.63, 4,774.27 and 1,102.16

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Solution

The fourth proportional to 3,182.63, 4,774.27 and 1,102.16 is: 1,653.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.63 : 4,774.27 = 1,102.16 : x
  2. Step 2: Convert to fraction form
    3,182.63/4,774.27 = 1,102.16/x
  3. Step 3: Cross multiply
    3,182.63x = 4,774.27 × 1,102.16
  4. Step 4: Simplify right side
    3,182.63x = 5,261,990.71
  5. Step 5: Solve for x
    x = 5,261,990.71/3,182.63
  6. Step 6: Final answer
    x = 1,653.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.