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Finding the Fourth Proportional to 1,738.24, 2,607.38 and 583.99

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Solution

The fourth proportional to 1,738.24, 2,607.38 and 583.99 is: 875.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.24 : 2,607.38 = 583.99 : x
  2. Step 2: Convert to fraction form
    1,738.24/2,607.38 = 583.99/x
  3. Step 3: Cross multiply
    1,738.24x = 2,607.38 × 583.99
  4. Step 4: Simplify right side
    1,738.24x = 1,522,684.19
  5. Step 5: Solve for x
    x = 1,522,684.19/1,738.24
  6. Step 6: Final answer
    x = 875.99

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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.