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Finding the Fourth Proportional to 4,696.94, 7,045.40 and 1,234.18

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Solution

The fourth proportional to 4,696.94, 7,045.40 and 1,234.18 is: 1,851.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.94 : 7,045.40 = 1,234.18 : x
  2. Step 2: Convert to fraction form
    4,696.94/7,045.40 = 1,234.18/x
  3. Step 3: Cross multiply
    4,696.94x = 7,045.40 × 1,234.18
  4. Step 4: Simplify right side
    4,696.94x = 8,695,291.77
  5. Step 5: Solve for x
    x = 8,695,291.77/4,696.94
  6. Step 6: Final answer
    x = 1,851.27

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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.