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Finding the Fourth Proportional to 2,038.40, 3,058.06 and 651.82

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Solution

The fourth proportional to 2,038.40, 3,058.06 and 651.82 is: 977.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.40 : 3,058.06 = 651.82 : x
  2. Step 2: Convert to fraction form
    2,038.40/3,058.06 = 651.82/x
  3. Step 3: Cross multiply
    2,038.40x = 3,058.06 × 651.82
  4. Step 4: Simplify right side
    2,038.40x = 1,993,304.67
  5. Step 5: Solve for x
    x = 1,993,304.67/2,038.40
  6. Step 6: Final answer
    x = 977.88

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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.