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Finding the Fourth Proportional to 2,384.28, 3,575.34 and 740.34

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Solution

The fourth proportional to 2,384.28, 3,575.34 and 740.34 is: 1,110.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.28 : 3,575.34 = 740.34 : x
  2. Step 2: Convert to fraction form
    2,384.28/3,575.34 = 740.34/x
  3. Step 3: Cross multiply
    2,384.28x = 3,575.34 × 740.34
  4. Step 4: Simplify right side
    2,384.28x = 2,646,967.22
  5. Step 5: Solve for x
    x = 2,646,967.22/2,384.28
  6. Step 6: Final answer
    x = 1,110.17

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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.