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Finding the Fourth Proportional to 3,641.25, 5,024.93 and 1,985.25

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Solution

The fourth proportional to 3,641.25, 5,024.93 and 1,985.25 is: 2,739.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.25 : 5,024.93 = 1,985.25 : x
  2. Step 2: Convert to fraction form
    3,641.25/5,024.93 = 1,985.25/x
  3. Step 3: Cross multiply
    3,641.25x = 5,024.93 × 1,985.25
  4. Step 4: Simplify right side
    3,641.25x = 9,975,732.36
  5. Step 5: Solve for x
    x = 9,975,732.36/3,641.25
  6. Step 6: Final answer
    x = 2,739.65

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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.