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Finding the Fourth Proportional to 1,686.35, 2,321.53 and 1,265.99

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Solution

The fourth proportional to 1,686.35, 2,321.53 and 1,265.99 is: 1,742.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.35 : 2,321.53 = 1,265.99 : x
  2. Step 2: Convert to fraction form
    1,686.35/2,321.53 = 1,265.99/x
  3. Step 3: Cross multiply
    1,686.35x = 2,321.53 × 1,265.99
  4. Step 4: Simplify right side
    1,686.35x = 2,939,027.43
  5. Step 5: Solve for x
    x = 2,939,027.43/1,686.35
  6. Step 6: Final answer
    x = 1,742.84

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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.