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Finding the Fourth Proportional to 1,690.76, 2,333.30 and 944.76

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Solution

The fourth proportional to 1,690.76, 2,333.30 and 944.76 is: 1,303.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.76 : 2,333.30 = 944.76 : x
  2. Step 2: Convert to fraction form
    1,690.76/2,333.30 = 944.76/x
  3. Step 3: Cross multiply
    1,690.76x = 2,333.30 × 944.76
  4. Step 4: Simplify right side
    1,690.76x = 2,204,408.51
  5. Step 5: Solve for x
    x = 2,204,408.51/1,690.76
  6. Step 6: Final answer
    x = 1,303.80

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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.