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Finding the Fourth Proportional to 2,696.58, 4,045.17 and 847.65

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Solution

The fourth proportional to 2,696.58, 4,045.17 and 847.65 is: 1,271.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.58 : 4,045.17 = 847.65 : x
  2. Step 2: Convert to fraction form
    2,696.58/4,045.17 = 847.65/x
  3. Step 3: Cross multiply
    2,696.58x = 4,045.17 × 847.65
  4. Step 4: Simplify right side
    2,696.58x = 3,428,888.35
  5. Step 5: Solve for x
    x = 3,428,888.35/2,696.58
  6. Step 6: Final answer
    x = 1,271.57

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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.