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Finding the Fourth Proportional to 1,759.46, 2,428.20 and 973.76

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Solution

The fourth proportional to 1,759.46, 2,428.20 and 973.76 is: 1,343.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,759.46 : 2,428.20 = 973.76 : x
  2. Step 2: Convert to fraction form
    1,759.46/2,428.20 = 973.76/x
  3. Step 3: Cross multiply
    1,759.46x = 2,428.20 × 973.76
  4. Step 4: Simplify right side
    1,759.46x = 2,364,484.03
  5. Step 5: Solve for x
    x = 2,364,484.03/1,759.46
  6. Step 6: Final answer
    x = 1,343.87

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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.