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Finding the Fourth Proportional to 1,650.47, 2,277.53 and 942.29

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Solution

The fourth proportional to 1,650.47, 2,277.53 and 942.29 is: 1,300.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.47 : 2,277.53 = 942.29 : x
  2. Step 2: Convert to fraction form
    1,650.47/2,277.53 = 942.29/x
  3. Step 3: Cross multiply
    1,650.47x = 2,277.53 × 942.29
  4. Step 4: Simplify right side
    1,650.47x = 2,146,103.50
  5. Step 5: Solve for x
    x = 2,146,103.50/1,650.47
  6. Step 6: Final answer
    x = 1,300.30

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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.