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Finding the Fourth Proportional to 2,946.07, 4,419.13 and 866.11

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Solution

The fourth proportional to 2,946.07, 4,419.13 and 866.11 is: 1,299.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946.07 : 4,419.13 = 866.11 : x
  2. Step 2: Convert to fraction form
    2,946.07/4,419.13 = 866.11/x
  3. Step 3: Cross multiply
    2,946.07x = 4,419.13 × 866.11
  4. Step 4: Simplify right side
    2,946.07x = 3,827,452.68
  5. Step 5: Solve for x
    x = 3,827,452.68/2,946.07
  6. Step 6: Final answer
    x = 1,299.17

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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.