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Finding the Fourth Proportional to 1,659.18, 2,284.47 and 1,409.94

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Solution

The fourth proportional to 1,659.18, 2,284.47 and 1,409.94 is: 1,941.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.18 : 2,284.47 = 1,409.94 : x
  2. Step 2: Convert to fraction form
    1,659.18/2,284.47 = 1,409.94/x
  3. Step 3: Cross multiply
    1,659.18x = 2,284.47 × 1,409.94
  4. Step 4: Simplify right side
    1,659.18x = 3,220,965.63
  5. Step 5: Solve for x
    x = 3,220,965.63/1,659.18
  6. Step 6: Final answer
    x = 1,941.30

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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.