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Finding the Fourth Proportional to 2,752.89, 4,128.27 and 997.52

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Solution

The fourth proportional to 2,752.89, 4,128.27 and 997.52 is: 1,495.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.89 : 4,128.27 = 997.52 : x
  2. Step 2: Convert to fraction form
    2,752.89/4,128.27 = 997.52/x
  3. Step 3: Cross multiply
    2,752.89x = 4,128.27 × 997.52
  4. Step 4: Simplify right side
    2,752.89x = 4,118,007.51
  5. Step 5: Solve for x
    x = 4,118,007.51/2,752.89
  6. Step 6: Final answer
    x = 1,495.89

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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.