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Finding the Fourth Proportional to 1,746.85, 2,410.18 and 1,215.14

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Solution

The fourth proportional to 1,746.85, 2,410.18 and 1,215.14 is: 1,676.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.85 : 2,410.18 = 1,215.14 : x
  2. Step 2: Convert to fraction form
    1,746.85/2,410.18 = 1,215.14/x
  3. Step 3: Cross multiply
    1,746.85x = 2,410.18 × 1,215.14
  4. Step 4: Simplify right side
    1,746.85x = 2,928,704.62
  5. Step 5: Solve for x
    x = 2,928,704.62/1,746.85
  6. Step 6: Final answer
    x = 1,676.56

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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.