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Finding the Fourth Proportional to 2,864.22, 4,296.36 and 784.40

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Solution

The fourth proportional to 2,864.22, 4,296.36 and 784.40 is: 1,176.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.22 : 4,296.36 = 784.40 : x
  2. Step 2: Convert to fraction form
    2,864.22/4,296.36 = 784.40/x
  3. Step 3: Cross multiply
    2,864.22x = 4,296.36 × 784.40
  4. Step 4: Simplify right side
    2,864.22x = 3,370,043.30
  5. Step 5: Solve for x
    x = 3,370,043.30/2,864.22
  6. Step 6: Final answer
    x = 1,176.60

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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.