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Finding the Fourth Proportional to 2,466.32, 3,695.08 and 2,058.08

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Solution

The fourth proportional to 2,466.32, 3,695.08 and 2,058.08 is: 3,083.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466.32 : 3,695.08 = 2,058.08 : x
  2. Step 2: Convert to fraction form
    2,466.32/3,695.08 = 2,058.08/x
  3. Step 3: Cross multiply
    2,466.32x = 3,695.08 × 2,058.08
  4. Step 4: Simplify right side
    2,466.32x = 7,604,770.25
  5. Step 5: Solve for x
    x = 7,604,770.25/2,466.32
  6. Step 6: Final answer
    x = 3,083.45

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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.