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Finding the Fourth Proportional to 1,588.87, 2,383.21 and 943.71

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Solution

The fourth proportional to 1,588.87, 2,383.21 and 943.71 is: 1,415.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.87 : 2,383.21 = 943.71 : x
  2. Step 2: Convert to fraction form
    1,588.87/2,383.21 = 943.71/x
  3. Step 3: Cross multiply
    1,588.87x = 2,383.21 × 943.71
  4. Step 4: Simplify right side
    1,588.87x = 2,249,059.11
  5. Step 5: Solve for x
    x = 2,249,059.11/1,588.87
  6. Step 6: Final answer
    x = 1,415.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.