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Finding the Fourth Proportional to 1,751.14, 2,416.29 and 1,004.82

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Solution

The fourth proportional to 1,751.14, 2,416.29 and 1,004.82 is: 1,386.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,751.14 : 2,416.29 = 1,004.82 : x
  2. Step 2: Convert to fraction form
    1,751.14/2,416.29 = 1,004.82/x
  3. Step 3: Cross multiply
    1,751.14x = 2,416.29 × 1,004.82
  4. Step 4: Simplify right side
    1,751.14x = 2,427,949.44
  5. Step 5: Solve for x
    x = 2,427,949.44/1,751.14
  6. Step 6: Final answer
    x = 1,386.50

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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.