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Finding the Fourth Proportional to 2,051.95, 3,077.62 and 665.41

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Solution

The fourth proportional to 2,051.95, 3,077.62 and 665.41 is: 998.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.95 : 3,077.62 = 665.41 : x
  2. Step 2: Convert to fraction form
    2,051.95/3,077.62 = 665.41/x
  3. Step 3: Cross multiply
    2,051.95x = 3,077.62 × 665.41
  4. Step 4: Simplify right side
    2,051.95x = 2,047,863.74
  5. Step 5: Solve for x
    x = 2,047,863.74/2,051.95
  6. Step 6: Final answer
    x = 998.01

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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.