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Finding the Fourth Proportional to 2,945.99, 4,419.66 and 866.15

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Solution

The fourth proportional to 2,945.99, 4,419.66 and 866.15 is: 1,299.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,945.99 : 4,419.66 = 866.15 : x
  2. Step 2: Convert to fraction form
    2,945.99/4,419.66 = 866.15/x
  3. Step 3: Cross multiply
    2,945.99x = 4,419.66 × 866.15
  4. Step 4: Simplify right side
    2,945.99x = 3,828,088.51
  5. Step 5: Solve for x
    x = 3,828,088.51/2,945.99
  6. Step 6: Final answer
    x = 1,299.42

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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.