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Finding the Fourth Proportional to 1,383.57, 2,075.00 and 944.75

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Solution

The fourth proportional to 1,383.57, 2,075.00 and 944.75 is: 1,416.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.57 : 2,075.00 = 944.75 : x
  2. Step 2: Convert to fraction form
    1,383.57/2,075.00 = 944.75/x
  3. Step 3: Cross multiply
    1,383.57x = 2,075.00 × 944.75
  4. Step 4: Simplify right side
    1,383.57x = 1,960,341.15
  5. Step 5: Solve for x
    x = 1,960,341.15/1,383.57
  6. Step 6: Final answer
    x = 1,416.87

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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.