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Finding the Fourth Proportional to 2,235.77, 3,352.34 and 675.30

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Solution

The fourth proportional to 2,235.77, 3,352.34 and 675.30 is: 1,012.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235.77 : 3,352.34 = 675.30 : x
  2. Step 2: Convert to fraction form
    2,235.77/3,352.34 = 675.30/x
  3. Step 3: Cross multiply
    2,235.77x = 3,352.34 × 675.30
  4. Step 4: Simplify right side
    2,235.77x = 2,263,831.83
  5. Step 5: Solve for x
    x = 2,263,831.83/2,235.77
  6. Step 6: Final answer
    x = 1,012.55

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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.