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Finding the Fourth Proportional to 1,683.10, 2,322.48 and 974.80

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Solution

The fourth proportional to 1,683.10, 2,322.48 and 974.80 is: 1,345.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.10 : 2,322.48 = 974.80 : x
  2. Step 2: Convert to fraction form
    1,683.10/2,322.48 = 974.80/x
  3. Step 3: Cross multiply
    1,683.10x = 2,322.48 × 974.80
  4. Step 4: Simplify right side
    1,683.10x = 2,263,953.50
  5. Step 5: Solve for x
    x = 2,263,953.50/1,683.10
  6. Step 6: Final answer
    x = 1,345.11

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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.