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Finding the Fourth Proportional to 2,009.92, 3,013.80 and 777.64

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Solution

The fourth proportional to 2,009.92, 3,013.80 and 777.64 is: 1,166.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.92 : 3,013.80 = 777.64 : x
  2. Step 2: Convert to fraction form
    2,009.92/3,013.80 = 777.64/x
  3. Step 3: Cross multiply
    2,009.92x = 3,013.80 × 777.64
  4. Step 4: Simplify right side
    2,009.92x = 2,343,651.43
  5. Step 5: Solve for x
    x = 2,343,651.43/2,009.92
  6. Step 6: Final answer
    x = 1,166.04

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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.