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Finding the Fourth Proportional to 1,492.18, 2,059.78 and 968.26

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Solution

The fourth proportional to 1,492.18, 2,059.78 and 968.26 is: 1,336.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.18 : 2,059.78 = 968.26 : x
  2. Step 2: Convert to fraction form
    1,492.18/2,059.78 = 968.26/x
  3. Step 3: Cross multiply
    1,492.18x = 2,059.78 × 968.26
  4. Step 4: Simplify right side
    1,492.18x = 1,994,402.58
  5. Step 5: Solve for x
    x = 1,994,402.58/1,492.18
  6. Step 6: Final answer
    x = 1,336.57

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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.