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Finding the Fourth Proportional to 1,623.81, 2,434.26 and 583.58

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Solution

The fourth proportional to 1,623.81, 2,434.26 and 583.58 is: 874.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,623.81 : 2,434.26 = 583.58 : x
  2. Step 2: Convert to fraction form
    1,623.81/2,434.26 = 583.58/x
  3. Step 3: Cross multiply
    1,623.81x = 2,434.26 × 583.58
  4. Step 4: Simplify right side
    1,623.81x = 1,420,573.28
  5. Step 5: Solve for x
    x = 1,420,573.28/1,623.81
  6. Step 6: Final answer
    x = 874.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.