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Finding the Fourth Proportional to 2,309.06, 3,463.59 and 577.68

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Solution

The fourth proportional to 2,309.06, 3,463.59 and 577.68 is: 866.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.06 : 3,463.59 = 577.68 : x
  2. Step 2: Convert to fraction form
    2,309.06/3,463.59 = 577.68/x
  3. Step 3: Cross multiply
    2,309.06x = 3,463.59 × 577.68
  4. Step 4: Simplify right side
    2,309.06x = 2,000,846.67
  5. Step 5: Solve for x
    x = 2,000,846.67/2,309.06
  6. Step 6: Final answer
    x = 866.52

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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.