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Finding the Fourth Proportional to 1,881.63, 2,822.31 and 583.07

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Solution

The fourth proportional to 1,881.63, 2,822.31 and 583.07 is: 874.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.63 : 2,822.31 = 583.07 : x
  2. Step 2: Convert to fraction form
    1,881.63/2,822.31 = 583.07/x
  3. Step 3: Cross multiply
    1,881.63x = 2,822.31 × 583.07
  4. Step 4: Simplify right side
    1,881.63x = 1,645,590.18
  5. Step 5: Solve for x
    x = 1,645,590.18/1,881.63
  6. Step 6: Final answer
    x = 874.56

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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.