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Finding the Fourth Proportional to 2,532.64, 3,495.37 and 1,484.80

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Solution

The fourth proportional to 2,532.64, 3,495.37 and 1,484.80 is: 2,049.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532.64 : 3,495.37 = 1,484.80 : x
  2. Step 2: Convert to fraction form
    2,532.64/3,495.37 = 1,484.80/x
  3. Step 3: Cross multiply
    2,532.64x = 3,495.37 × 1,484.80
  4. Step 4: Simplify right side
    2,532.64x = 5,189,904.19
  5. Step 5: Solve for x
    x = 5,189,904.19/2,532.64
  6. Step 6: Final answer
    x = 2,049.21

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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.