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Finding the Fourth Proportional to 1,825.06, 2,749.91 and 1,507.54

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Solution

The fourth proportional to 1,825.06, 2,749.91 and 1,507.54 is: 2,271.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,825.06 : 2,749.91 = 1,507.54 : x
  2. Step 2: Convert to fraction form
    1,825.06/2,749.91 = 1,507.54/x
  3. Step 3: Cross multiply
    1,825.06x = 2,749.91 × 1,507.54
  4. Step 4: Simplify right side
    1,825.06x = 4,145,599.32
  5. Step 5: Solve for x
    x = 4,145,599.32/1,825.06
  6. Step 6: Final answer
    x = 2,271.49

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.