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Finding the Fourth Proportional to 2,806.62, 4,210.40 and 1,051.57

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Solution

The fourth proportional to 2,806.62, 4,210.40 and 1,051.57 is: 1,577.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.62 : 4,210.40 = 1,051.57 : x
  2. Step 2: Convert to fraction form
    2,806.62/4,210.40 = 1,051.57/x
  3. Step 3: Cross multiply
    2,806.62x = 4,210.40 × 1,051.57
  4. Step 4: Simplify right side
    2,806.62x = 4,427,530.33
  5. Step 5: Solve for x
    x = 4,427,530.33/2,806.62
  6. Step 6: Final answer
    x = 1,577.53

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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.