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Finding the Fourth Proportional to 1,594.00, 2,388.81 and 1,203.67

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Solution

The fourth proportional to 1,594.00, 2,388.81 and 1,203.67 is: 1,803.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.00 : 2,388.81 = 1,203.67 : x
  2. Step 2: Convert to fraction form
    1,594.00/2,388.81 = 1,203.67/x
  3. Step 3: Cross multiply
    1,594.00x = 2,388.81 × 1,203.67
  4. Step 4: Simplify right side
    1,594.00x = 2,875,332.96
  5. Step 5: Solve for x
    x = 2,875,332.96/1,594.00
  6. Step 6: Final answer
    x = 1,803.85

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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.