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Finding the Fourth Proportional to 1,418.49, 1,956.47 and 946.17

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Solution

The fourth proportional to 1,418.49, 1,956.47 and 946.17 is: 1,305.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.49 : 1,956.47 = 946.17 : x
  2. Step 2: Convert to fraction form
    1,418.49/1,956.47 = 946.17/x
  3. Step 3: Cross multiply
    1,418.49x = 1,956.47 × 946.17
  4. Step 4: Simplify right side
    1,418.49x = 1,851,148.49
  5. Step 5: Solve for x
    x = 1,851,148.49/1,418.49
  6. Step 6: Final answer
    x = 1,305.01

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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.