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Finding the Fourth Proportional to 1,667.14, 2,300.64 and 921.14

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Solution

The fourth proportional to 1,667.14, 2,300.64 and 921.14 is: 1,271.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.14 : 2,300.64 = 921.14 : x
  2. Step 2: Convert to fraction form
    1,667.14/2,300.64 = 921.14/x
  3. Step 3: Cross multiply
    1,667.14x = 2,300.64 × 921.14
  4. Step 4: Simplify right side
    1,667.14x = 2,119,218.14
  5. Step 5: Solve for x
    x = 2,119,218.14/1,667.14
  6. Step 6: Final answer
    x = 1,271.17

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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.