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Finding the Fourth Proportional to 2,301.52, 3,451.81 and 657.63

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Solution

The fourth proportional to 2,301.52, 3,451.81 and 657.63 is: 986.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.52 : 3,451.81 = 657.63 : x
  2. Step 2: Convert to fraction form
    2,301.52/3,451.81 = 657.63/x
  3. Step 3: Cross multiply
    2,301.52x = 3,451.81 × 657.63
  4. Step 4: Simplify right side
    2,301.52x = 2,270,013.81
  5. Step 5: Solve for x
    x = 2,270,013.81/2,301.52
  6. Step 6: Final answer
    x = 986.31

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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.