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Finding the Fourth Proportional to 2,288.87, 3,433.68 and 901.47

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Solution

The fourth proportional to 2,288.87, 3,433.68 and 901.47 is: 1,352.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.87 : 3,433.68 = 901.47 : x
  2. Step 2: Convert to fraction form
    2,288.87/3,433.68 = 901.47/x
  3. Step 3: Cross multiply
    2,288.87x = 3,433.68 × 901.47
  4. Step 4: Simplify right side
    2,288.87x = 3,095,359.51
  5. Step 5: Solve for x
    x = 3,095,359.51/2,288.87
  6. Step 6: Final answer
    x = 1,352.35

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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.