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Finding the Fourth Proportional to 2,393.84, 3,592.82 and 934.01

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Solution

The fourth proportional to 2,393.84, 3,592.82 and 934.01 is: 1,401.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,393.84 : 3,592.82 = 934.01 : x
  2. Step 2: Convert to fraction form
    2,393.84/3,592.82 = 934.01/x
  3. Step 3: Cross multiply
    2,393.84x = 3,592.82 × 934.01
  4. Step 4: Simplify right side
    2,393.84x = 3,355,742.61
  5. Step 5: Solve for x
    x = 3,355,742.61/2,393.84
  6. Step 6: Final answer
    x = 1,401.83

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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.