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Finding the Fourth Proportional to 2,068.50, 2,854.53 and 1,184.60

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Solution

The fourth proportional to 2,068.50, 2,854.53 and 1,184.60 is: 1,634.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.50 : 2,854.53 = 1,184.60 : x
  2. Step 2: Convert to fraction form
    2,068.50/2,854.53 = 1,184.60/x
  3. Step 3: Cross multiply
    2,068.50x = 2,854.53 × 1,184.60
  4. Step 4: Simplify right side
    2,068.50x = 3,381,461.97
  5. Step 5: Solve for x
    x = 3,381,461.97/2,068.50
  6. Step 6: Final answer
    x = 1,634.74

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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.