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Finding the Fourth Proportional to 2,038.18, 3,057.45 and 651.58

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Solution

The fourth proportional to 2,038.18, 3,057.45 and 651.58 is: 977.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.18 : 3,057.45 = 651.58 : x
  2. Step 2: Convert to fraction form
    2,038.18/3,057.45 = 651.58/x
  3. Step 3: Cross multiply
    2,038.18x = 3,057.45 × 651.58
  4. Step 4: Simplify right side
    2,038.18x = 1,992,173.27
  5. Step 5: Solve for x
    x = 1,992,173.27/2,038.18
  6. Step 6: Final answer
    x = 977.43

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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.