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Finding the Fourth Proportional to 2,309.48, 3,464.45 and 749.42

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Solution

The fourth proportional to 2,309.48, 3,464.45 and 749.42 is: 1,124.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.48 : 3,464.45 = 749.42 : x
  2. Step 2: Convert to fraction form
    2,309.48/3,464.45 = 749.42/x
  3. Step 3: Cross multiply
    2,309.48x = 3,464.45 × 749.42
  4. Step 4: Simplify right side
    2,309.48x = 2,596,322.85
  5. Step 5: Solve for x
    x = 2,596,322.85/2,309.48
  6. Step 6: Final answer
    x = 1,124.20

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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.