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Finding the Fourth Proportional to 2,765.07, 3,815.88 and 1,506.18

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Solution

The fourth proportional to 2,765.07, 3,815.88 and 1,506.18 is: 2,078.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.07 : 3,815.88 = 1,506.18 : x
  2. Step 2: Convert to fraction form
    2,765.07/3,815.88 = 1,506.18/x
  3. Step 3: Cross multiply
    2,765.07x = 3,815.88 × 1,506.18
  4. Step 4: Simplify right side
    2,765.07x = 5,747,402.14
  5. Step 5: Solve for x
    x = 5,747,402.14/2,765.07
  6. Step 6: Final answer
    x = 2,078.57

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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.