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Finding the Fourth Proportional to 2,038.69, 3,058.72 and 868.64

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Solution

The fourth proportional to 2,038.69, 3,058.72 and 868.64 is: 1,303.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.69 : 3,058.72 = 868.64 : x
  2. Step 2: Convert to fraction form
    2,038.69/3,058.72 = 868.64/x
  3. Step 3: Cross multiply
    2,038.69x = 3,058.72 × 868.64
  4. Step 4: Simplify right side
    2,038.69x = 2,656,932.02
  5. Step 5: Solve for x
    x = 2,656,932.02/2,038.69
  6. Step 6: Final answer
    x = 1,303.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.