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Finding the Fourth Proportional to 2,322.43, 3,483.51 and 678.94

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Solution

The fourth proportional to 2,322.43, 3,483.51 and 678.94 is: 1,018.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.43 : 3,483.51 = 678.94 : x
  2. Step 2: Convert to fraction form
    2,322.43/3,483.51 = 678.94/x
  3. Step 3: Cross multiply
    2,322.43x = 3,483.51 × 678.94
  4. Step 4: Simplify right side
    2,322.43x = 2,365,094.28
  5. Step 5: Solve for x
    x = 2,365,094.28/2,322.43
  6. Step 6: Final answer
    x = 1,018.37

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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.