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Finding the Fourth Proportional to 2,667.12, 3,680.48 and 1,488.32

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Solution

The fourth proportional to 2,667.12, 3,680.48 and 1,488.32 is: 2,053.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667.12 : 3,680.48 = 1,488.32 : x
  2. Step 2: Convert to fraction form
    2,667.12/3,680.48 = 1,488.32/x
  3. Step 3: Cross multiply
    2,667.12x = 3,680.48 × 1,488.32
  4. Step 4: Simplify right side
    2,667.12x = 5,477,731.99
  5. Step 5: Solve for x
    x = 5,477,731.99/2,667.12
  6. Step 6: Final answer
    x = 2,053.80

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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.