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Finding the Fourth Proportional to 1,583.57, 2,374.34 and 761.82

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Solution

The fourth proportional to 1,583.57, 2,374.34 and 761.82 is: 1,142.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.57 : 2,374.34 = 761.82 : x
  2. Step 2: Convert to fraction form
    1,583.57/2,374.34 = 761.82/x
  3. Step 3: Cross multiply
    1,583.57x = 2,374.34 × 761.82
  4. Step 4: Simplify right side
    1,583.57x = 1,808,815.89
  5. Step 5: Solve for x
    x = 1,808,815.89/1,583.57
  6. Step 6: Final answer
    x = 1,142.24

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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.