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Finding the Fourth Proportional to 1,218.84, 1,681.47 and 938.58

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Solution

The fourth proportional to 1,218.84, 1,681.47 and 938.58 is: 1,294.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.84 : 1,681.47 = 938.58 : x
  2. Step 2: Convert to fraction form
    1,218.84/1,681.47 = 938.58/x
  3. Step 3: Cross multiply
    1,218.84x = 1,681.47 × 938.58
  4. Step 4: Simplify right side
    1,218.84x = 1,578,194.11
  5. Step 5: Solve for x
    x = 1,578,194.11/1,218.84
  6. Step 6: Final answer
    x = 1,294.83

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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.