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Finding the Fourth Proportional to 2,038.64, 3,058.08 and 651.87

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Solution

The fourth proportional to 2,038.64, 3,058.08 and 651.87 is: 977.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.64 : 3,058.08 = 651.87 : x
  2. Step 2: Convert to fraction form
    2,038.64/3,058.08 = 651.87/x
  3. Step 3: Cross multiply
    2,038.64x = 3,058.08 × 651.87
  4. Step 4: Simplify right side
    2,038.64x = 1,993,470.61
  5. Step 5: Solve for x
    x = 1,993,470.61/2,038.64
  6. Step 6: Final answer
    x = 977.84

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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.