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Finding the Fourth Proportional to 2,946.04, 4,419 and 866.08

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Solution

The fourth proportional to 2,946.04, 4,419 and 866.08 is: 1,299.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946.04 : 4,419 = 866.08 : x
  2. Step 2: Convert to fraction form
    2,946.04/4,419 = 866.08/x
  3. Step 3: Cross multiply
    2,946.04x = 4,419 × 866.08
  4. Step 4: Simplify right side
    2,946.04x = 3,827,207.52
  5. Step 5: Solve for x
    x = 3,827,207.52/2,946.04
  6. Step 6: Final answer
    x = 1,299.10

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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.