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Finding the Fourth Proportional to 3,038.54, 4,193.24 and 1,780.50

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Solution

The fourth proportional to 3,038.54, 4,193.24 and 1,780.50 is: 2,457.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,038.54 : 4,193.24 = 1,780.50 : x
  2. Step 2: Convert to fraction form
    3,038.54/4,193.24 = 1,780.50/x
  3. Step 3: Cross multiply
    3,038.54x = 4,193.24 × 1,780.50
  4. Step 4: Simplify right side
    3,038.54x = 7,466,063.82
  5. Step 5: Solve for x
    x = 7,466,063.82/3,038.54
  6. Step 6: Final answer
    x = 2,457.12

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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.