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Finding the Fourth Proportional to 1,667.23, 2,300.70 and 958.58

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Solution

The fourth proportional to 1,667.23, 2,300.70 and 958.58 is: 1,322.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.23 : 2,300.70 = 958.58 : x
  2. Step 2: Convert to fraction form
    1,667.23/2,300.70 = 958.58/x
  3. Step 3: Cross multiply
    1,667.23x = 2,300.70 × 958.58
  4. Step 4: Simplify right side
    1,667.23x = 2,205,405.01
  5. Step 5: Solve for x
    x = 2,205,405.01/1,667.23
  6. Step 6: Final answer
    x = 1,322.80

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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.