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Finding the Fourth Proportional to 1,917.56, 2,647.32 and 1,465.88

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Solution

The fourth proportional to 1,917.56, 2,647.32 and 1,465.88 is: 2,023.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,917.56 : 2,647.32 = 1,465.88 : x
  2. Step 2: Convert to fraction form
    1,917.56/2,647.32 = 1,465.88/x
  3. Step 3: Cross multiply
    1,917.56x = 2,647.32 × 1,465.88
  4. Step 4: Simplify right side
    1,917.56x = 3,880,653.44
  5. Step 5: Solve for x
    x = 3,880,653.44/1,917.56
  6. Step 6: Final answer
    x = 2,023.75

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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.