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Finding the Fourth Proportional to 1,492.88, 2,059.85 and 863.30

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Solution

The fourth proportional to 1,492.88, 2,059.85 and 863.30 is: 1,191.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.88 : 2,059.85 = 863.30 : x
  2. Step 2: Convert to fraction form
    1,492.88/2,059.85 = 863.30/x
  3. Step 3: Cross multiply
    1,492.88x = 2,059.85 × 863.30
  4. Step 4: Simplify right side
    1,492.88x = 1,778,275.81
  5. Step 5: Solve for x
    x = 1,778,275.81/1,492.88
  6. Step 6: Final answer
    x = 1,191.18

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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.