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Finding the Fourth Proportional to 2,084.17, 3,125.95 and 623.14

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Solution

The fourth proportional to 2,084.17, 3,125.95 and 623.14 is: 934.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.17 : 3,125.95 = 623.14 : x
  2. Step 2: Convert to fraction form
    2,084.17/3,125.95 = 623.14/x
  3. Step 3: Cross multiply
    2,084.17x = 3,125.95 × 623.14
  4. Step 4: Simplify right side
    2,084.17x = 1,947,904.48
  5. Step 5: Solve for x
    x = 1,947,904.48/2,084.17
  6. Step 6: Final answer
    x = 934.62

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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.