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Finding the Fourth Proportional to 2,506.63, 3,758.77 and 1,045.39

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Solution

The fourth proportional to 2,506.63, 3,758.77 and 1,045.39 is: 1,567.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506.63 : 3,758.77 = 1,045.39 : x
  2. Step 2: Convert to fraction form
    2,506.63/3,758.77 = 1,045.39/x
  3. Step 3: Cross multiply
    2,506.63x = 3,758.77 × 1,045.39
  4. Step 4: Simplify right side
    2,506.63x = 3,929,380.57
  5. Step 5: Solve for x
    x = 3,929,380.57/2,506.63
  6. Step 6: Final answer
    x = 1,567.59

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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.