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Finding the Fourth Proportional to 3,038.78, 4,193.82 and 1,779.76

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Solution

The fourth proportional to 3,038.78, 4,193.82 and 1,779.76 is: 2,456.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,038.78 : 4,193.82 = 1,779.76 : x
  2. Step 2: Convert to fraction form
    3,038.78/4,193.82 = 1,779.76/x
  3. Step 3: Cross multiply
    3,038.78x = 4,193.82 × 1,779.76
  4. Step 4: Simplify right side
    3,038.78x = 7,463,984.18
  5. Step 5: Solve for x
    x = 7,463,984.18/3,038.78
  6. Step 6: Final answer
    x = 2,456.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.