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Finding the Fourth Proportional to 1,577.27, 2,364.87 and 884.02

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Solution

The fourth proportional to 1,577.27, 2,364.87 and 884.02 is: 1,325.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.27 : 2,364.87 = 884.02 : x
  2. Step 2: Convert to fraction form
    1,577.27/2,364.87 = 884.02/x
  3. Step 3: Cross multiply
    1,577.27x = 2,364.87 × 884.02
  4. Step 4: Simplify right side
    1,577.27x = 2,090,592.38
  5. Step 5: Solve for x
    x = 2,090,592.38/1,577.27
  6. Step 6: Final answer
    x = 1,325.45

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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.