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Finding the Fourth Proportional to 2,259.01, 3,387.67 and 777.82

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Solution

The fourth proportional to 2,259.01, 3,387.67 and 777.82 is: 1,166.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.01 : 3,387.67 = 777.82 : x
  2. Step 2: Convert to fraction form
    2,259.01/3,387.67 = 777.82/x
  3. Step 3: Cross multiply
    2,259.01x = 3,387.67 × 777.82
  4. Step 4: Simplify right side
    2,259.01x = 2,634,980.54
  5. Step 5: Solve for x
    x = 2,634,980.54/2,259.01
  6. Step 6: Final answer
    x = 1,166.43

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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.