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Finding the Fourth Proportional to 2,235.36, 3,352.32 and 675.04

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Solution

The fourth proportional to 2,235.36, 3,352.32 and 675.04 is: 1,012.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235.36 : 3,352.32 = 675.04 : x
  2. Step 2: Convert to fraction form
    2,235.36/3,352.32 = 675.04/x
  3. Step 3: Cross multiply
    2,235.36x = 3,352.32 × 675.04
  4. Step 4: Simplify right side
    2,235.36x = 2,262,950.09
  5. Step 5: Solve for x
    x = 2,262,950.09/2,235.36
  6. Step 6: Final answer
    x = 1,012.34

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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.