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Finding the Fourth Proportional to 2,335.51, 3,502.81 and 775.54

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Solution

The fourth proportional to 2,335.51, 3,502.81 and 775.54 is: 1,163.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335.51 : 3,502.81 = 775.54 : x
  2. Step 2: Convert to fraction form
    2,335.51/3,502.81 = 775.54/x
  3. Step 3: Cross multiply
    2,335.51x = 3,502.81 × 775.54
  4. Step 4: Simplify right side
    2,335.51x = 2,716,569.27
  5. Step 5: Solve for x
    x = 2,716,569.27/2,335.51
  6. Step 6: Final answer
    x = 1,163.16

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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.