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Finding the Fourth Proportional to 1,667.84, 2,502.72 and 984.32

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Solution

The fourth proportional to 1,667.84, 2,502.72 and 984.32 is: 1,477.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.84 : 2,502.72 = 984.32 : x
  2. Step 2: Convert to fraction form
    1,667.84/2,502.72 = 984.32/x
  3. Step 3: Cross multiply
    1,667.84x = 2,502.72 × 984.32
  4. Step 4: Simplify right side
    1,667.84x = 2,463,477.35
  5. Step 5: Solve for x
    x = 2,463,477.35/1,667.84
  6. Step 6: Final answer
    x = 1,477.05

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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.