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Finding the Fourth Proportional to 2,038.10, 3,057.23 and 651.63

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Solution

The fourth proportional to 2,038.10, 3,057.23 and 651.63 is: 977.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.10 : 3,057.23 = 651.63 : x
  2. Step 2: Convert to fraction form
    2,038.10/3,057.23 = 651.63/x
  3. Step 3: Cross multiply
    2,038.10x = 3,057.23 × 651.63
  4. Step 4: Simplify right side
    2,038.10x = 1,992,182.78
  5. Step 5: Solve for x
    x = 1,992,182.78/2,038.10
  6. Step 6: Final answer
    x = 977.47

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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.