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Finding the Fourth Proportional to 2,083.55, 3,125.32 and 623.72

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Solution

The fourth proportional to 2,083.55, 3,125.32 and 623.72 is: 935.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.55 : 3,125.32 = 623.72 : x
  2. Step 2: Convert to fraction form
    2,083.55/3,125.32 = 623.72/x
  3. Step 3: Cross multiply
    2,083.55x = 3,125.32 × 623.72
  4. Step 4: Simplify right side
    2,083.55x = 1,949,330.84
  5. Step 5: Solve for x
    x = 1,949,330.84/2,083.55
  6. Step 6: Final answer
    x = 935.58

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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.