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Finding the Fourth Proportional to 2,307.69, 3,185.70 and 1,424.01

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Solution

The fourth proportional to 2,307.69, 3,185.70 and 1,424.01 is: 1,965.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.69 : 3,185.70 = 1,424.01 : x
  2. Step 2: Convert to fraction form
    2,307.69/3,185.70 = 1,424.01/x
  3. Step 3: Cross multiply
    2,307.69x = 3,185.70 × 1,424.01
  4. Step 4: Simplify right side
    2,307.69x = 4,536,468.66
  5. Step 5: Solve for x
    x = 4,536,468.66/2,307.69
  6. Step 6: Final answer
    x = 1,965.81

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