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Finding the Fourth Proportional to 2,393.84, 3,588.63 and 1,160.01

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Solution

The fourth proportional to 2,393.84, 3,588.63 and 1,160.01 is: 1,738.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,393.84 : 3,588.63 = 1,160.01 : x
  2. Step 2: Convert to fraction form
    2,393.84/3,588.63 = 1,160.01/x
  3. Step 3: Cross multiply
    2,393.84x = 3,588.63 × 1,160.01
  4. Step 4: Simplify right side
    2,393.84x = 4,162,846.69
  5. Step 5: Solve for x
    x = 4,162,846.69/2,393.84
  6. Step 6: Final answer
    x = 1,738.99

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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.