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Finding the Fourth Proportional to 1,709.85, 2,358.74 and 1,150.34

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Solution

The fourth proportional to 1,709.85, 2,358.74 and 1,150.34 is: 1,586.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.85 : 2,358.74 = 1,150.34 : x
  2. Step 2: Convert to fraction form
    1,709.85/2,358.74 = 1,150.34/x
  3. Step 3: Cross multiply
    1,709.85x = 2,358.74 × 1,150.34
  4. Step 4: Simplify right side
    1,709.85x = 2,713,361.74
  5. Step 5: Solve for x
    x = 2,713,361.74/1,709.85
  6. Step 6: Final answer
    x = 1,586.90

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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.