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Finding the Fourth Proportional to 1,667.64, 2,501.82 and 694.02

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Solution

The fourth proportional to 1,667.64, 2,501.82 and 694.02 is: 1,041.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.64 : 2,501.82 = 694.02 : x
  2. Step 2: Convert to fraction form
    1,667.64/2,501.82 = 694.02/x
  3. Step 3: Cross multiply
    1,667.64x = 2,501.82 × 694.02
  4. Step 4: Simplify right side
    1,667.64x = 1,736,313.12
  5. Step 5: Solve for x
    x = 1,736,313.12/1,667.64
  6. Step 6: Final answer
    x = 1,041.18

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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.