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Finding the Fourth Proportional to 2,407.02, 3,610.52 and 945.14

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Solution

The fourth proportional to 2,407.02, 3,610.52 and 945.14 is: 1,417.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.02 : 3,610.52 = 945.14 : x
  2. Step 2: Convert to fraction form
    2,407.02/3,610.52 = 945.14/x
  3. Step 3: Cross multiply
    2,407.02x = 3,610.52 × 945.14
  4. Step 4: Simplify right side
    2,407.02x = 3,412,446.87
  5. Step 5: Solve for x
    x = 3,412,446.87/2,407.02
  6. Step 6: Final answer
    x = 1,417.71

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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.