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Finding the Fourth Proportional to 1,583.10, 2,375.86 and 1,035.14

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Solution

The fourth proportional to 1,583.10, 2,375.86 and 1,035.14 is: 1,553.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.10 : 2,375.86 = 1,035.14 : x
  2. Step 2: Convert to fraction form
    1,583.10/2,375.86 = 1,035.14/x
  3. Step 3: Cross multiply
    1,583.10x = 2,375.86 × 1,035.14
  4. Step 4: Simplify right side
    1,583.10x = 2,459,347.72
  5. Step 5: Solve for x
    x = 2,459,347.72/1,583.10
  6. Step 6: Final answer
    x = 1,553.50

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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.