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Finding the Fourth Proportional to 2,321.76, 3,483.43 and 678.54

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Solution

The fourth proportional to 2,321.76, 3,483.43 and 678.54 is: 1,018.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.76 : 3,483.43 = 678.54 : x
  2. Step 2: Convert to fraction form
    2,321.76/3,483.43 = 678.54/x
  3. Step 3: Cross multiply
    2,321.76x = 3,483.43 × 678.54
  4. Step 4: Simplify right side
    2,321.76x = 2,363,661.78
  5. Step 5: Solve for x
    x = 2,363,661.78/2,321.76
  6. Step 6: Final answer
    x = 1,018.05

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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.