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Finding the Fourth Proportional to 2,675.63, 4,013.65 and 826.93

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Solution

The fourth proportional to 2,675.63, 4,013.65 and 826.93 is: 1,240.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.63 : 4,013.65 = 826.93 : x
  2. Step 2: Convert to fraction form
    2,675.63/4,013.65 = 826.93/x
  3. Step 3: Cross multiply
    2,675.63x = 4,013.65 × 826.93
  4. Step 4: Simplify right side
    2,675.63x = 3,319,024.93
  5. Step 5: Solve for x
    x = 3,319,024.93/2,675.63
  6. Step 6: Final answer
    x = 1,240.46

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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.