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Finding the Fourth Proportional to 1,841.59, 2,762.54 and 801.63

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Solution

The fourth proportional to 1,841.59, 2,762.54 and 801.63 is: 1,202.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,841.59 : 2,762.54 = 801.63 : x
  2. Step 2: Convert to fraction form
    1,841.59/2,762.54 = 801.63/x
  3. Step 3: Cross multiply
    1,841.59x = 2,762.54 × 801.63
  4. Step 4: Simplify right side
    1,841.59x = 2,214,517.12
  5. Step 5: Solve for x
    x = 2,214,517.12/1,841.59
  6. Step 6: Final answer
    x = 1,202.50

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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.