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Finding the Fourth Proportional to 1,534.60, 2,118.21 and 905.08

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Solution

The fourth proportional to 1,534.60, 2,118.21 and 905.08 is: 1,249.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.60 : 2,118.21 = 905.08 : x
  2. Step 2: Convert to fraction form
    1,534.60/2,118.21 = 905.08/x
  3. Step 3: Cross multiply
    1,534.60x = 2,118.21 × 905.08
  4. Step 4: Simplify right side
    1,534.60x = 1,917,149.51
  5. Step 5: Solve for x
    x = 1,917,149.51/1,534.60
  6. Step 6: Final answer
    x = 1,249.28

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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.