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Finding the Fourth Proportional to 1,597.14, 2,396.32 and 623.92

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Solution

The fourth proportional to 1,597.14, 2,396.32 and 623.92 is: 936.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.14 : 2,396.32 = 623.92 : x
  2. Step 2: Convert to fraction form
    1,597.14/2,396.32 = 623.92/x
  3. Step 3: Cross multiply
    1,597.14x = 2,396.32 × 623.92
  4. Step 4: Simplify right side
    1,597.14x = 1,495,111.97
  5. Step 5: Solve for x
    x = 1,495,111.97/1,597.14
  6. Step 6: Final answer
    x = 936.12

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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.