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Finding the Fourth Proportional to 1,676.10, 2,516.55 and 947.10

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Solution

The fourth proportional to 1,676.10, 2,516.55 and 947.10 is: 1,422.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.10 : 2,516.55 = 947.10 : x
  2. Step 2: Convert to fraction form
    1,676.10/2,516.55 = 947.10/x
  3. Step 3: Cross multiply
    1,676.10x = 2,516.55 × 947.10
  4. Step 4: Simplify right side
    1,676.10x = 2,383,424.51
  5. Step 5: Solve for x
    x = 2,383,424.51/1,676.10
  6. Step 6: Final answer
    x = 1,422.01

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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.