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Finding the Fourth Proportional to 1,716.65, 2,368.77 and 1,219.11

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Solution

The fourth proportional to 1,716.65, 2,368.77 and 1,219.11 is: 1,682.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,716.65 : 2,368.77 = 1,219.11 : x
  2. Step 2: Convert to fraction form
    1,716.65/2,368.77 = 1,219.11/x
  3. Step 3: Cross multiply
    1,716.65x = 2,368.77 × 1,219.11
  4. Step 4: Simplify right side
    1,716.65x = 2,887,785.10
  5. Step 5: Solve for x
    x = 2,887,785.10/1,716.65
  6. Step 6: Final answer
    x = 1,682.22

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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.