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Finding the Fourth Proportional to 2,084, 3,127.08 and 1,058

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Solution

The fourth proportional to 2,084, 3,127.08 and 1,058 is: 1,587.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084 : 3,127.08 = 1,058 : x
  2. Step 2: Convert to fraction form
    2,084/3,127.08 = 1,058/x
  3. Step 3: Cross multiply
    2,084x = 3,127.08 × 1,058
  4. Step 4: Simplify right side
    2,084x = 3,308,450.64
  5. Step 5: Solve for x
    x = 3,308,450.64/2,084
  6. Step 6: Final answer
    x = 1,587.55

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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.