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Finding the Fourth Proportional to 4,612.95, 6,915.27 and 1,690.57

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Solution

The fourth proportional to 4,612.95, 6,915.27 and 1,690.57 is: 2,534.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612.95 : 6,915.27 = 1,690.57 : x
  2. Step 2: Convert to fraction form
    4,612.95/6,915.27 = 1,690.57/x
  3. Step 3: Cross multiply
    4,612.95x = 6,915.27 × 1,690.57
  4. Step 4: Simplify right side
    4,612.95x = 11,690,748.00
  5. Step 5: Solve for x
    x = 11,690,748.00/4,612.95
  6. Step 6: Final answer
    x = 2,534.33

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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.