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Finding the Fourth Proportional to 1,683.48, 2,322.94 and 1,020.40

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Solution

The fourth proportional to 1,683.48, 2,322.94 and 1,020.40 is: 1,407.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.48 : 2,322.94 = 1,020.40 : x
  2. Step 2: Convert to fraction form
    1,683.48/2,322.94 = 1,020.40/x
  3. Step 3: Cross multiply
    1,683.48x = 2,322.94 × 1,020.40
  4. Step 4: Simplify right side
    1,683.48x = 2,370,327.98
  5. Step 5: Solve for x
    x = 2,370,327.98/1,683.48
  6. Step 6: Final answer
    x = 1,407.99

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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.