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Finding the Fourth Proportional to 1,667.87, 2,300.48 and 1,108.06

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Solution

The fourth proportional to 1,667.87, 2,300.48 and 1,108.06 is: 1,528.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.87 : 2,300.48 = 1,108.06 : x
  2. Step 2: Convert to fraction form
    1,667.87/2,300.48 = 1,108.06/x
  3. Step 3: Cross multiply
    1,667.87x = 2,300.48 × 1,108.06
  4. Step 4: Simplify right side
    1,667.87x = 2,549,069.87
  5. Step 5: Solve for x
    x = 2,549,069.87/1,667.87
  6. Step 6: Final answer
    x = 1,528.34

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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.