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Finding the Fourth Proportional to 2,045.72, 3,068.86 and 813.25

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Solution

The fourth proportional to 2,045.72, 3,068.86 and 813.25 is: 1,219.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.72 : 3,068.86 = 813.25 : x
  2. Step 2: Convert to fraction form
    2,045.72/3,068.86 = 813.25/x
  3. Step 3: Cross multiply
    2,045.72x = 3,068.86 × 813.25
  4. Step 4: Simplify right side
    2,045.72x = 2,495,750.40
  5. Step 5: Solve for x
    x = 2,495,750.40/2,045.72
  6. Step 6: Final answer
    x = 1,219.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.