Home / 3,051.60-4,576.48-971.22

Finding the Fourth Proportional to 3,051.60, 4,576.48 and 971.22

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Solution

The fourth proportional to 3,051.60, 4,576.48 and 971.22 is: 1,456.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,051.60 : 4,576.48 = 971.22 : x
  2. Step 2: Convert to fraction form
    3,051.60/4,576.48 = 971.22/x
  3. Step 3: Cross multiply
    3,051.60x = 4,576.48 × 971.22
  4. Step 4: Simplify right side
    3,051.60x = 4,444,768.91
  5. Step 5: Solve for x
    x = 4,444,768.91/3,051.60
  6. Step 6: Final answer
    x = 1,456.54

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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.