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Finding the Fourth Proportional to 2,384.62, 3,575.64 and 740.72

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Solution

The fourth proportional to 2,384.62, 3,575.64 and 740.72 is: 1,110.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.62 : 3,575.64 = 740.72 : x
  2. Step 2: Convert to fraction form
    2,384.62/3,575.64 = 740.72/x
  3. Step 3: Cross multiply
    2,384.62x = 3,575.64 × 740.72
  4. Step 4: Simplify right side
    2,384.62x = 2,648,548.06
  5. Step 5: Solve for x
    x = 2,648,548.06/2,384.62
  6. Step 6: Final answer
    x = 1,110.68

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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.