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Finding the Fourth Proportional to 1,583.55, 2,185.31 and 884.93

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Solution

The fourth proportional to 1,583.55, 2,185.31 and 884.93 is: 1,221.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.55 : 2,185.31 = 884.93 : x
  2. Step 2: Convert to fraction form
    1,583.55/2,185.31 = 884.93/x
  3. Step 3: Cross multiply
    1,583.55x = 2,185.31 × 884.93
  4. Step 4: Simplify right side
    1,583.55x = 1,933,831.03
  5. Step 5: Solve for x
    x = 1,933,831.03/1,583.55
  6. Step 6: Final answer
    x = 1,221.20

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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.