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Finding the Fourth Proportional to 2,533.87, 3,801.41 and 802.49

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Solution

The fourth proportional to 2,533.87, 3,801.41 and 802.49 is: 1,203.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533.87 : 3,801.41 = 802.49 : x
  2. Step 2: Convert to fraction form
    2,533.87/3,801.41 = 802.49/x
  3. Step 3: Cross multiply
    2,533.87x = 3,801.41 × 802.49
  4. Step 4: Simplify right side
    2,533.87x = 3,050,593.51
  5. Step 5: Solve for x
    x = 3,050,593.51/2,533.87
  6. Step 6: Final answer
    x = 1,203.93

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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.