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Finding the Fourth Proportional to 1,776.74, 2,667.53 and 1,533.13

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Solution

The fourth proportional to 1,776.74, 2,667.53 and 1,533.13 is: 2,301.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.74 : 2,667.53 = 1,533.13 : x
  2. Step 2: Convert to fraction form
    1,776.74/2,667.53 = 1,533.13/x
  3. Step 3: Cross multiply
    1,776.74x = 2,667.53 × 1,533.13
  4. Step 4: Simplify right side
    1,776.74x = 4,089,667.43
  5. Step 5: Solve for x
    x = 4,089,667.43/1,776.74
  6. Step 6: Final answer
    x = 2,301.79

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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.