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Finding the Fourth Proportional to 1,983.07, 2,975.07 and 1,058.14

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Solution

The fourth proportional to 1,983.07, 2,975.07 and 1,058.14 is: 1,587.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.07 : 2,975.07 = 1,058.14 : x
  2. Step 2: Convert to fraction form
    1,983.07/2,975.07 = 1,058.14/x
  3. Step 3: Cross multiply
    1,983.07x = 2,975.07 × 1,058.14
  4. Step 4: Simplify right side
    1,983.07x = 3,148,040.57
  5. Step 5: Solve for x
    x = 3,148,040.57/1,983.07
  6. Step 6: Final answer
    x = 1,587.46

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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.