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Finding the Fourth Proportional to 2,981.77, 4,472.61 and 730.31

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Solution

The fourth proportional to 2,981.77, 4,472.61 and 730.31 is: 1,095.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981.77 : 4,472.61 = 730.31 : x
  2. Step 2: Convert to fraction form
    2,981.77/4,472.61 = 730.31/x
  3. Step 3: Cross multiply
    2,981.77x = 4,472.61 × 730.31
  4. Step 4: Simplify right side
    2,981.77x = 3,266,391.81
  5. Step 5: Solve for x
    x = 3,266,391.81/2,981.77
  6. Step 6: Final answer
    x = 1,095.45

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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.