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Finding the Fourth Proportional to 2,205.78, 3,307.40 and 906.92

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Solution

The fourth proportional to 2,205.78, 3,307.40 and 906.92 is: 1,359.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.78 : 3,307.40 = 906.92 : x
  2. Step 2: Convert to fraction form
    2,205.78/3,307.40 = 906.92/x
  3. Step 3: Cross multiply
    2,205.78x = 3,307.40 × 906.92
  4. Step 4: Simplify right side
    2,205.78x = 2,999,547.21
  5. Step 5: Solve for x
    x = 2,999,547.21/2,205.78
  6. Step 6: Final answer
    x = 1,359.86

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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.