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Finding the Fourth Proportional to 2,505.37, 3,752.58 and 1,528.51

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Solution

The fourth proportional to 2,505.37, 3,752.58 and 1,528.51 is: 2,289.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.37 : 3,752.58 = 1,528.51 : x
  2. Step 2: Convert to fraction form
    2,505.37/3,752.58 = 1,528.51/x
  3. Step 3: Cross multiply
    2,505.37x = 3,752.58 × 1,528.51
  4. Step 4: Simplify right side
    2,505.37x = 5,735,837.29
  5. Step 5: Solve for x
    x = 5,735,837.29/2,505.37
  6. Step 6: Final answer
    x = 2,289.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.