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Finding the Fourth Proportional to 2,484.64, 3,428.76 and 1,365.60

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Solution

The fourth proportional to 2,484.64, 3,428.76 and 1,365.60 is: 1,884.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,484.64 : 3,428.76 = 1,365.60 : x
  2. Step 2: Convert to fraction form
    2,484.64/3,428.76 = 1,365.60/x
  3. Step 3: Cross multiply
    2,484.64x = 3,428.76 × 1,365.60
  4. Step 4: Simplify right side
    2,484.64x = 4,682,314.66
  5. Step 5: Solve for x
    x = 4,682,314.66/2,484.64
  6. Step 6: Final answer
    x = 1,884.50

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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.