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Finding the Fourth Proportional to 2,384.37, 3,575.42 and 740.94

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Solution

The fourth proportional to 2,384.37, 3,575.42 and 740.94 is: 1,111.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.37 : 3,575.42 = 740.94 : x
  2. Step 2: Convert to fraction form
    2,384.37/3,575.42 = 740.94/x
  3. Step 3: Cross multiply
    2,384.37x = 3,575.42 × 740.94
  4. Step 4: Simplify right side
    2,384.37x = 2,649,171.69
  5. Step 5: Solve for x
    x = 2,649,171.69/2,384.37
  6. Step 6: Final answer
    x = 1,111.06

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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.