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Finding the Fourth Proportional to 1,749.51, 2,624.71 and 775.38

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Solution

The fourth proportional to 1,749.51, 2,624.71 and 775.38 is: 1,163.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749.51 : 2,624.71 = 775.38 : x
  2. Step 2: Convert to fraction form
    1,749.51/2,624.71 = 775.38/x
  3. Step 3: Cross multiply
    1,749.51x = 2,624.71 × 775.38
  4. Step 4: Simplify right side
    1,749.51x = 2,035,147.64
  5. Step 5: Solve for x
    x = 2,035,147.64/1,749.51
  6. Step 6: Final answer
    x = 1,163.27

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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.