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Finding the Fourth Proportional to 2,681.53, 3,699.50 and 2,051.39

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Solution

The fourth proportional to 2,681.53, 3,699.50 and 2,051.39 is: 2,830.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.53 : 3,699.50 = 2,051.39 : x
  2. Step 2: Convert to fraction form
    2,681.53/3,699.50 = 2,051.39/x
  3. Step 3: Cross multiply
    2,681.53x = 3,699.50 × 2,051.39
  4. Step 4: Simplify right side
    2,681.53x = 7,589,116.30
  5. Step 5: Solve for x
    x = 7,589,116.30/2,681.53
  6. Step 6: Final answer
    x = 2,830.15

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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.