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Finding the Fourth Proportional to 1,667.72, 2,303.24 and 1,484.48

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Solution

The fourth proportional to 1,667.72, 2,303.24 and 1,484.48 is: 2,050.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.72 : 2,303.24 = 1,484.48 : x
  2. Step 2: Convert to fraction form
    1,667.72/2,303.24 = 1,484.48/x
  3. Step 3: Cross multiply
    1,667.72x = 2,303.24 × 1,484.48
  4. Step 4: Simplify right side
    1,667.72x = 3,419,094.78
  5. Step 5: Solve for x
    x = 3,419,094.78/1,667.72
  6. Step 6: Final answer
    x = 2,050.17

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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.