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Finding the Fourth Proportional to 1,759.85, 2,428.60 and 973.90

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Solution

The fourth proportional to 1,759.85, 2,428.60 and 973.90 is: 1,343.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,759.85 : 2,428.60 = 973.90 : x
  2. Step 2: Convert to fraction form
    1,759.85/2,428.60 = 973.90/x
  3. Step 3: Cross multiply
    1,759.85x = 2,428.60 × 973.90
  4. Step 4: Simplify right side
    1,759.85x = 2,365,205.03
  5. Step 5: Solve for x
    x = 2,365,205.03/1,759.85
  6. Step 6: Final answer
    x = 1,343.98

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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.