Home / 2,732.45-4,097.67-976.98

Finding the Fourth Proportional to 2,732.45, 4,097.67 and 976.98

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Solution

The fourth proportional to 2,732.45, 4,097.67 and 976.98 is: 1,465.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.45 : 4,097.67 = 976.98 : x
  2. Step 2: Convert to fraction form
    2,732.45/4,097.67 = 976.98/x
  3. Step 3: Cross multiply
    2,732.45x = 4,097.67 × 976.98
  4. Step 4: Simplify right side
    2,732.45x = 4,003,326.51
  5. Step 5: Solve for x
    x = 4,003,326.51/2,732.45
  6. Step 6: Final answer
    x = 1,465.11

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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.