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Finding the Fourth Proportional to 1,468.82, 2,194.62 and 1,417.80

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Solution

The fourth proportional to 1,468.82, 2,194.62 and 1,417.80 is: 2,118.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.82 : 2,194.62 = 1,417.80 : x
  2. Step 2: Convert to fraction form
    1,468.82/2,194.62 = 1,417.80/x
  3. Step 3: Cross multiply
    1,468.82x = 2,194.62 × 1,417.80
  4. Step 4: Simplify right side
    1,468.82x = 3,111,532.24
  5. Step 5: Solve for x
    x = 3,111,532.24/1,468.82
  6. Step 6: Final answer
    x = 2,118.39

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.