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Finding the Fourth Proportional to 1,583.73, 2,374.20 and 852.45

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Solution

The fourth proportional to 1,583.73, 2,374.20 and 852.45 is: 1,277.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.73 : 2,374.20 = 852.45 : x
  2. Step 2: Convert to fraction form
    1,583.73/2,374.20 = 852.45/x
  3. Step 3: Cross multiply
    1,583.73x = 2,374.20 × 852.45
  4. Step 4: Simplify right side
    1,583.73x = 2,023,886.79
  5. Step 5: Solve for x
    x = 2,023,886.79/1,583.73
  6. Step 6: Final answer
    x = 1,277.92

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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.