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Finding the Fourth Proportional to 2,082.90, 3,125.10 and 973.31

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Solution

The fourth proportional to 2,082.90, 3,125.10 and 973.31 is: 1,460.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.90 : 3,125.10 = 973.31 : x
  2. Step 2: Convert to fraction form
    2,082.90/3,125.10 = 973.31/x
  3. Step 3: Cross multiply
    2,082.90x = 3,125.10 × 973.31
  4. Step 4: Simplify right side
    2,082.90x = 3,041,675.46
  5. Step 5: Solve for x
    x = 3,041,675.46/2,082.90
  6. Step 6: Final answer
    x = 1,460.31

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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.