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Finding the Fourth Proportional to 1,887.66, 2,832.63 and 1,344.36

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Solution

The fourth proportional to 1,887.66, 2,832.63 and 1,344.36 is: 2,017.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,887.66 : 2,832.63 = 1,344.36 : x
  2. Step 2: Convert to fraction form
    1,887.66/2,832.63 = 1,344.36/x
  3. Step 3: Cross multiply
    1,887.66x = 2,832.63 × 1,344.36
  4. Step 4: Simplify right side
    1,887.66x = 3,808,074.47
  5. Step 5: Solve for x
    x = 3,808,074.47/1,887.66
  6. Step 6: Final answer
    x = 2,017.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.