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Finding the Fourth Proportional to 2,038.58, 3,057.84 and 651.90

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Solution

The fourth proportional to 2,038.58, 3,057.84 and 651.90 is: 977.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.58 : 3,057.84 = 651.90 : x
  2. Step 2: Convert to fraction form
    2,038.58/3,057.84 = 651.90/x
  3. Step 3: Cross multiply
    2,038.58x = 3,057.84 × 651.90
  4. Step 4: Simplify right side
    2,038.58x = 1,993,405.90
  5. Step 5: Solve for x
    x = 1,993,405.90/2,038.58
  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.