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Finding the Fourth Proportional to 2,129.90, 3,195.33 and 975.98

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Solution

The fourth proportional to 2,129.90, 3,195.33 and 975.98 is: 1,464.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.90 : 3,195.33 = 975.98 : x
  2. Step 2: Convert to fraction form
    2,129.90/3,195.33 = 975.98/x
  3. Step 3: Cross multiply
    2,129.90x = 3,195.33 × 975.98
  4. Step 4: Simplify right side
    2,129.90x = 3,118,578.17
  5. Step 5: Solve for x
    x = 3,118,578.17/2,129.90
  6. Step 6: Final answer
    x = 1,464.19

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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.