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Finding the Fourth Proportional to 2,508.64, 3,461.52 and 1,576.48

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Solution

The fourth proportional to 2,508.64, 3,461.52 and 1,576.48 is: 2,175.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508.64 : 3,461.52 = 1,576.48 : x
  2. Step 2: Convert to fraction form
    2,508.64/3,461.52 = 1,576.48/x
  3. Step 3: Cross multiply
    2,508.64x = 3,461.52 × 1,576.48
  4. Step 4: Simplify right side
    2,508.64x = 5,457,017.05
  5. Step 5: Solve for x
    x = 5,457,017.05/2,508.64
  6. Step 6: Final answer
    x = 2,175.29

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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.