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Finding the Fourth Proportional to 2,074.50, 3,111.75 and 535.50

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Solution

The fourth proportional to 2,074.50, 3,111.75 and 535.50 is: 803.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.50 : 3,111.75 = 535.50 : x
  2. Step 2: Convert to fraction form
    2,074.50/3,111.75 = 535.50/x
  3. Step 3: Cross multiply
    2,074.50x = 3,111.75 × 535.50
  4. Step 4: Simplify right side
    2,074.50x = 1,666,342.13
  5. Step 5: Solve for x
    x = 1,666,342.13/2,074.50
  6. Step 6: Final answer
    x = 803.25

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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.