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Finding the Fourth Proportional to 1,673.69, 2,523.38 and 1,560.77

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Solution

The fourth proportional to 1,673.69, 2,523.38 and 1,560.77 is: 2,353.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,673.69 : 2,523.38 = 1,560.77 : x
  2. Step 2: Convert to fraction form
    1,673.69/2,523.38 = 1,560.77/x
  3. Step 3: Cross multiply
    1,673.69x = 2,523.38 × 1,560.77
  4. Step 4: Simplify right side
    1,673.69x = 3,938,395.38
  5. Step 5: Solve for x
    x = 3,938,395.38/1,673.69
  6. Step 6: Final answer
    x = 2,353.12

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.