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Finding the Fourth Proportional to 1,683.62, 2,323.68 and 1,011.23

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Solution

The fourth proportional to 1,683.62, 2,323.68 and 1,011.23 is: 1,395.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.62 : 2,323.68 = 1,011.23 : x
  2. Step 2: Convert to fraction form
    1,683.62/2,323.68 = 1,011.23/x
  3. Step 3: Cross multiply
    1,683.62x = 2,323.68 × 1,011.23
  4. Step 4: Simplify right side
    1,683.62x = 2,349,774.93
  5. Step 5: Solve for x
    x = 2,349,774.93/1,683.62
  6. Step 6: Final answer
    x = 1,395.67

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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.