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Finding the Fourth Proportional to 1,416.67, 2,112.07 and 1,398.40

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Solution

The fourth proportional to 1,416.67, 2,112.07 and 1,398.40 is: 2,084.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.67 : 2,112.07 = 1,398.40 : x
  2. Step 2: Convert to fraction form
    1,416.67/2,112.07 = 1,398.40/x
  3. Step 3: Cross multiply
    1,416.67x = 2,112.07 × 1,398.40
  4. Step 4: Simplify right side
    1,416.67x = 2,953,518.69
  5. Step 5: Solve for x
    x = 2,953,518.69/1,416.67
  6. Step 6: Final answer
    x = 2,084.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.