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Finding the Fourth Proportional to 2,583.74, 3,875.60 and 804.83

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Solution

The fourth proportional to 2,583.74, 3,875.60 and 804.83 is: 1,207.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.74 : 3,875.60 = 804.83 : x
  2. Step 2: Convert to fraction form
    2,583.74/3,875.60 = 804.83/x
  3. Step 3: Cross multiply
    2,583.74x = 3,875.60 × 804.83
  4. Step 4: Simplify right side
    2,583.74x = 3,119,181.78
  5. Step 5: Solve for x
    x = 3,119,181.78/2,583.74
  6. Step 6: Final answer
    x = 1,207.24

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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.