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Finding the Fourth Proportional to 1,740.81, 2,608.48 and 1,045.83

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Solution

The fourth proportional to 1,740.81, 2,608.48 and 1,045.83 is: 1,567.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740.81 : 2,608.48 = 1,045.83 : x
  2. Step 2: Convert to fraction form
    1,740.81/2,608.48 = 1,045.83/x
  3. Step 3: Cross multiply
    1,740.81x = 2,608.48 × 1,045.83
  4. Step 4: Simplify right side
    1,740.81x = 2,728,021.41
  5. Step 5: Solve for x
    x = 2,728,021.41/1,740.81
  6. Step 6: Final answer
    x = 1,567.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.