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Finding the Fourth Proportional to 1,782.09, 2,672.28 and 1,051.47

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Solution

The fourth proportional to 1,782.09, 2,672.28 and 1,051.47 is: 1,576.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.09 : 2,672.28 = 1,051.47 : x
  2. Step 2: Convert to fraction form
    1,782.09/2,672.28 = 1,051.47/x
  3. Step 3: Cross multiply
    1,782.09x = 2,672.28 × 1,051.47
  4. Step 4: Simplify right side
    1,782.09x = 2,809,822.25
  5. Step 5: Solve for x
    x = 2,809,822.25/1,782.09
  6. Step 6: Final answer
    x = 1,576.70

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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.