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Finding the Fourth Proportional to 2,581.51, 3,565.39 and 1,745.67

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Solution

The fourth proportional to 2,581.51, 3,565.39 and 1,745.67 is: 2,410.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581.51 : 3,565.39 = 1,745.67 : x
  2. Step 2: Convert to fraction form
    2,581.51/3,565.39 = 1,745.67/x
  3. Step 3: Cross multiply
    2,581.51x = 3,565.39 × 1,745.67
  4. Step 4: Simplify right side
    2,581.51x = 6,223,994.36
  5. Step 5: Solve for x
    x = 6,223,994.36/2,581.51
  6. Step 6: Final answer
    x = 2,410.99

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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.