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Finding the Fourth Proportional to 1,709.44, 2,360.76 and 1,417.84

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Solution

The fourth proportional to 1,709.44, 2,360.76 and 1,417.84 is: 1,958.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.44 : 2,360.76 = 1,417.84 : x
  2. Step 2: Convert to fraction form
    1,709.44/2,360.76 = 1,417.84/x
  3. Step 3: Cross multiply
    1,709.44x = 2,360.76 × 1,417.84
  4. Step 4: Simplify right side
    1,709.44x = 3,347,179.96
  5. Step 5: Solve for x
    x = 3,347,179.96/1,709.44
  6. Step 6: Final answer
    x = 1,958.06

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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.