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Finding the Fourth Proportional to 1,583.68, 2,376.42 and 853.24

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Solution

The fourth proportional to 1,583.68, 2,376.42 and 853.24 is: 1,280.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.68 : 2,376.42 = 853.24 : x
  2. Step 2: Convert to fraction form
    1,583.68/2,376.42 = 853.24/x
  3. Step 3: Cross multiply
    1,583.68x = 2,376.42 × 853.24
  4. Step 4: Simplify right side
    1,583.68x = 2,027,656.60
  5. Step 5: Solve for x
    x = 2,027,656.60/1,583.68
  6. Step 6: Final answer
    x = 1,280.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.