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Finding the Fourth Proportional to 2,205.36, 3,307.32 and 744.30

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Solution

The fourth proportional to 2,205.36, 3,307.32 and 744.30 is: 1,116.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.36 : 3,307.32 = 744.30 : x
  2. Step 2: Convert to fraction form
    2,205.36/3,307.32 = 744.30/x
  3. Step 3: Cross multiply
    2,205.36x = 3,307.32 × 744.30
  4. Step 4: Simplify right side
    2,205.36x = 2,461,638.28
  5. Step 5: Solve for x
    x = 2,461,638.28/2,205.36
  6. Step 6: Final answer
    x = 1,116.21

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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.