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Finding the Fourth Proportional to 2,651.32, 3,653.94 and 2,053

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Solution

The fourth proportional to 2,651.32, 3,653.94 and 2,053 is: 2,829.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.32 : 3,653.94 = 2,053 : x
  2. Step 2: Convert to fraction form
    2,651.32/3,653.94 = 2,053/x
  3. Step 3: Cross multiply
    2,651.32x = 3,653.94 × 2,053
  4. Step 4: Simplify right side
    2,651.32x = 7,501,538.82
  5. Step 5: Solve for x
    x = 7,501,538.82/2,651.32
  6. Step 6: Final answer
    x = 2,829.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.