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Finding the Fourth Proportional to 1,930.57, 2,895.83 and 469.72

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Solution

The fourth proportional to 1,930.57, 2,895.83 and 469.72 is: 704.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930.57 : 2,895.83 = 469.72 : x
  2. Step 2: Convert to fraction form
    1,930.57/2,895.83 = 469.72/x
  3. Step 3: Cross multiply
    1,930.57x = 2,895.83 × 469.72
  4. Step 4: Simplify right side
    1,930.57x = 1,360,226.92
  5. Step 5: Solve for x
    x = 1,360,226.92/1,930.57
  6. Step 6: Final answer
    x = 704.57

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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.