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Finding the Fourth Proportional to 2,892.87, 4,339.32 and 1,043.64

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Solution

The fourth proportional to 2,892.87, 4,339.32 and 1,043.64 is: 1,565.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.87 : 4,339.32 = 1,043.64 : x
  2. Step 2: Convert to fraction form
    2,892.87/4,339.32 = 1,043.64/x
  3. Step 3: Cross multiply
    2,892.87x = 4,339.32 × 1,043.64
  4. Step 4: Simplify right side
    2,892.87x = 4,528,687.92
  5. Step 5: Solve for x
    x = 4,528,687.92/2,892.87
  6. Step 6: Final answer
    x = 1,565.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.