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Finding the Fourth Proportional to 2,074.38, 3,110.76 and 775.14

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Solution

The fourth proportional to 2,074.38, 3,110.76 and 775.14 is: 1,162.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.38 : 3,110.76 = 775.14 : x
  2. Step 2: Convert to fraction form
    2,074.38/3,110.76 = 775.14/x
  3. Step 3: Cross multiply
    2,074.38x = 3,110.76 × 775.14
  4. Step 4: Simplify right side
    2,074.38x = 2,411,274.51
  5. Step 5: Solve for x
    x = 2,411,274.51/2,074.38
  6. Step 6: Final answer
    x = 1,162.41

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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.