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Finding the Fourth Proportional to 2,074.02, 3,110.99 and 535.02

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Solution

The fourth proportional to 2,074.02, 3,110.99 and 535.02 is: 802.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.02 : 3,110.99 = 535.02 : x
  2. Step 2: Convert to fraction form
    2,074.02/3,110.99 = 535.02/x
  3. Step 3: Cross multiply
    2,074.02x = 3,110.99 × 535.02
  4. Step 4: Simplify right side
    2,074.02x = 1,664,441.87
  5. Step 5: Solve for x
    x = 1,664,441.87/2,074.02
  6. Step 6: Final answer
    x = 802.52

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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.