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Finding the Fourth Proportional to 3,043.91, 4,565.32 and 852.10

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Solution

The fourth proportional to 3,043.91, 4,565.32 and 852.10 is: 1,277.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,043.91 : 4,565.32 = 852.10 : x
  2. Step 2: Convert to fraction form
    3,043.91/4,565.32 = 852.10/x
  3. Step 3: Cross multiply
    3,043.91x = 4,565.32 × 852.10
  4. Step 4: Simplify right side
    3,043.91x = 3,890,095.63
  5. Step 5: Solve for x
    x = 3,890,095.63/3,043.91
  6. Step 6: Final answer
    x = 1,277.99

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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.