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Finding the Fourth Proportional to 1,681.86, 2,513.93 and 1,460.73

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Solution

The fourth proportional to 1,681.86, 2,513.93 and 1,460.73 is: 2,183.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.86 : 2,513.93 = 1,460.73 : x
  2. Step 2: Convert to fraction form
    1,681.86/2,513.93 = 1,460.73/x
  3. Step 3: Cross multiply
    1,681.86x = 2,513.93 × 1,460.73
  4. Step 4: Simplify right side
    1,681.86x = 3,672,176.62
  5. Step 5: Solve for x
    x = 3,672,176.62/1,681.86
  6. Step 6: Final answer
    x = 2,183.40

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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.