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Finding the Fourth Proportional to 3,641.50, 5,025.28 and 1,985.50

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Solution

The fourth proportional to 3,641.50, 5,025.28 and 1,985.50 is: 2,740.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.50 : 5,025.28 = 1,985.50 : x
  2. Step 2: Convert to fraction form
    3,641.50/5,025.28 = 1,985.50/x
  3. Step 3: Cross multiply
    3,641.50x = 5,025.28 × 1,985.50
  4. Step 4: Simplify right side
    3,641.50x = 9,977,693.44
  5. Step 5: Solve for x
    x = 9,977,693.44/3,641.50
  6. Step 6: Final answer
    x = 2,740.00

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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.