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Finding the Fourth Proportional to 1,684.56, 2,317.50 and 1,290.90

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Solution

The fourth proportional to 1,684.56, 2,317.50 and 1,290.90 is: 1,775.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.56 : 2,317.50 = 1,290.90 : x
  2. Step 2: Convert to fraction form
    1,684.56/2,317.50 = 1,290.90/x
  3. Step 3: Cross multiply
    1,684.56x = 2,317.50 × 1,290.90
  4. Step 4: Simplify right side
    1,684.56x = 2,991,660.75
  5. Step 5: Solve for x
    x = 2,991,660.75/1,684.56
  6. Step 6: Final answer
    x = 1,775.93

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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.