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Finding the Fourth Proportional to 1,534.98, 2,117.90 and 905.53

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Solution

The fourth proportional to 1,534.98, 2,117.90 and 905.53 is: 1,249.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.98 : 2,117.90 = 905.53 : x
  2. Step 2: Convert to fraction form
    1,534.98/2,117.90 = 905.53/x
  3. Step 3: Cross multiply
    1,534.98x = 2,117.90 × 905.53
  4. Step 4: Simplify right side
    1,534.98x = 1,917,821.99
  5. Step 5: Solve for x
    x = 1,917,821.99/1,534.98
  6. Step 6: Final answer
    x = 1,249.41

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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.