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Finding the Fourth Proportional to 2,384.69, 3,577.80 and 1,152.23

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Solution

The fourth proportional to 2,384.69, 3,577.80 and 1,152.23 is: 1,728.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.69 : 3,577.80 = 1,152.23 : x
  2. Step 2: Convert to fraction form
    2,384.69/3,577.80 = 1,152.23/x
  3. Step 3: Cross multiply
    2,384.69x = 3,577.80 × 1,152.23
  4. Step 4: Simplify right side
    2,384.69x = 4,122,448.49
  5. Step 5: Solve for x
    x = 4,122,448.49/2,384.69
  6. Step 6: Final answer
    x = 1,728.72

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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.