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Finding the Fourth Proportional to 3,104.32, 4,653.12 and 1,459.84

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Solution

The fourth proportional to 3,104.32, 4,653.12 and 1,459.84 is: 2,188.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.32 : 4,653.12 = 1,459.84 : x
  2. Step 2: Convert to fraction form
    3,104.32/4,653.12 = 1,459.84/x
  3. Step 3: Cross multiply
    3,104.32x = 4,653.12 × 1,459.84
  4. Step 4: Simplify right side
    3,104.32x = 6,792,810.70
  5. Step 5: Solve for x
    x = 6,792,810.70/3,104.32
  6. Step 6: Final answer
    x = 2,188.18

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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.