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Finding the Fourth Proportional to 1,667.67, 2,501.55 and 790.59

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Solution

The fourth proportional to 1,667.67, 2,501.55 and 790.59 is: 1,185.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.67 : 2,501.55 = 790.59 : x
  2. Step 2: Convert to fraction form
    1,667.67/2,501.55 = 790.59/x
  3. Step 3: Cross multiply
    1,667.67x = 2,501.55 × 790.59
  4. Step 4: Simplify right side
    1,667.67x = 1,977,700.41
  5. Step 5: Solve for x
    x = 1,977,700.41/1,667.67
  6. Step 6: Final answer
    x = 1,185.91

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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.