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Finding the Fourth Proportional to 2,484.86, 3,429.14 and 1,365.80

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Solution

The fourth proportional to 2,484.86, 3,429.14 and 1,365.80 is: 1,884.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,484.86 : 3,429.14 = 1,365.80 : x
  2. Step 2: Convert to fraction form
    2,484.86/3,429.14 = 1,365.80/x
  3. Step 3: Cross multiply
    2,484.86x = 3,429.14 × 1,365.80
  4. Step 4: Simplify right side
    2,484.86x = 4,683,506.96
  5. Step 5: Solve for x
    x = 4,683,506.96/2,484.86
  6. Step 6: Final answer
    x = 1,884.81

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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.