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Finding the Fourth Proportional to 2,562.68, 3,533.31 and 1,676.94

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Solution

The fourth proportional to 2,562.68, 3,533.31 and 1,676.94 is: 2,312.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.68 : 3,533.31 = 1,676.94 : x
  2. Step 2: Convert to fraction form
    2,562.68/3,533.31 = 1,676.94/x
  3. Step 3: Cross multiply
    2,562.68x = 3,533.31 × 1,676.94
  4. Step 4: Simplify right side
    2,562.68x = 5,925,148.87
  5. Step 5: Solve for x
    x = 5,925,148.87/2,562.68
  6. Step 6: Final answer
    x = 2,312.10

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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.