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Finding the Fourth Proportional to 2,533.94, 3,498.44 and 1,652.25

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Solution

The fourth proportional to 2,533.94, 3,498.44 and 1,652.25 is: 2,281.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.94 : 3,498.44 = 1,652.25 : x
  2. Step 2: Convert to fraction form
    2,533.94/3,498.44 = 1,652.25/x
  3. Step 3: Cross multiply
    2,533.94x = 3,498.44 × 1,652.25
  4. Step 4: Simplify right side
    2,533.94x = 5,780,289.23
  5. Step 5: Solve for x
    x = 5,780,289.23/2,533.94
  6. Step 6: Final answer
    x = 2,281.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.