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Finding the Fourth Proportional to 1,683.59, 2,323.52 and 975.41

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Solution

The fourth proportional to 1,683.59, 2,323.52 and 975.41 is: 1,346.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.59 : 2,323.52 = 975.41 : x
  2. Step 2: Convert to fraction form
    1,683.59/2,323.52 = 975.41/x
  3. Step 3: Cross multiply
    1,683.59x = 2,323.52 × 975.41
  4. Step 4: Simplify right side
    1,683.59x = 2,266,380.52
  5. Step 5: Solve for x
    x = 2,266,380.52/1,683.59
  6. Step 6: Final answer
    x = 1,346.16

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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.