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Finding the Fourth Proportional to 1,667.89, 2,501.93 and 435.34

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Solution

The fourth proportional to 1,667.89, 2,501.93 and 435.34 is: 653.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.89 : 2,501.93 = 435.34 : x
  2. Step 2: Convert to fraction form
    1,667.89/2,501.93 = 435.34/x
  3. Step 3: Cross multiply
    1,667.89x = 2,501.93 × 435.34
  4. Step 4: Simplify right side
    1,667.89x = 1,089,190.21
  5. Step 5: Solve for x
    x = 1,089,190.21/1,667.89
  6. Step 6: Final answer
    x = 653.03

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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.