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Finding the Fourth Proportional to 1,597.46, 2,394.51 and 623.54

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Solution

The fourth proportional to 1,597.46, 2,394.51 and 623.54 is: 934.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.46 : 2,394.51 = 623.54 : x
  2. Step 2: Convert to fraction form
    1,597.46/2,394.51 = 623.54/x
  3. Step 3: Cross multiply
    1,597.46x = 2,394.51 × 623.54
  4. Step 4: Simplify right side
    1,597.46x = 1,493,072.77
  5. Step 5: Solve for x
    x = 1,493,072.77/1,597.46
  6. Step 6: Final answer
    x = 934.65

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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.