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Finding the Fourth Proportional to 2,131.68, 3,193.76 and 975.04

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Solution

The fourth proportional to 2,131.68, 3,193.76 and 975.04 is: 1,460.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.68 : 3,193.76 = 975.04 : x
  2. Step 2: Convert to fraction form
    2,131.68/3,193.76 = 975.04/x
  3. Step 3: Cross multiply
    2,131.68x = 3,193.76 × 975.04
  4. Step 4: Simplify right side
    2,131.68x = 3,114,043.75
  5. Step 5: Solve for x
    x = 3,114,043.75/2,131.68
  6. Step 6: Final answer
    x = 1,460.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.