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Finding the Fourth Proportional to 1,667.98, 2,501.42 and 790.36

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Solution

The fourth proportional to 1,667.98, 2,501.42 and 790.36 is: 1,185.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.98 : 2,501.42 = 790.36 : x
  2. Step 2: Convert to fraction form
    1,667.98/2,501.42 = 790.36/x
  3. Step 3: Cross multiply
    1,667.98x = 2,501.42 × 790.36
  4. Step 4: Simplify right side
    1,667.98x = 1,977,022.31
  5. Step 5: Solve for x
    x = 1,977,022.31/1,667.98
  6. Step 6: Final answer
    x = 1,185.28

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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.