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Finding the Fourth Proportional to 2,152.53, 3,228.26 and 919.53

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Solution

The fourth proportional to 2,152.53, 3,228.26 and 919.53 is: 1,379.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.53 : 3,228.26 = 919.53 : x
  2. Step 2: Convert to fraction form
    2,152.53/3,228.26 = 919.53/x
  3. Step 3: Cross multiply
    2,152.53x = 3,228.26 × 919.53
  4. Step 4: Simplify right side
    2,152.53x = 2,968,477.32
  5. Step 5: Solve for x
    x = 2,968,477.32/2,152.53
  6. Step 6: Final answer
    x = 1,379.06

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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.