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Finding the Fourth Proportional to 3,097.45, 4,648.47 and 1,929.15

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Solution

The fourth proportional to 3,097.45, 4,648.47 and 1,929.15 is: 2,895.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.45 : 4,648.47 = 1,929.15 : x
  2. Step 2: Convert to fraction form
    3,097.45/4,648.47 = 1,929.15/x
  3. Step 3: Cross multiply
    3,097.45x = 4,648.47 × 1,929.15
  4. Step 4: Simplify right side
    3,097.45x = 8,967,595.90
  5. Step 5: Solve for x
    x = 8,967,595.90/3,097.45
  6. Step 6: Final answer
    x = 2,895.15

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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.