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Finding the Fourth Proportional to 3,051.16, 4,576.74 and 2,023

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Solution

The fourth proportional to 3,051.16, 4,576.74 and 2,023 is: 3,034.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,051.16 : 4,576.74 = 2,023 : x
  2. Step 2: Convert to fraction form
    3,051.16/4,576.74 = 2,023/x
  3. Step 3: Cross multiply
    3,051.16x = 4,576.74 × 2,023
  4. Step 4: Simplify right side
    3,051.16x = 9,258,745.02
  5. Step 5: Solve for x
    x = 9,258,745.02/3,051.16
  6. Step 6: Final answer
    x = 3,034.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.