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Finding the Fourth Proportional to 1,556.66, 2,328.11 and 1,384.54

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Solution

The fourth proportional to 1,556.66, 2,328.11 and 1,384.54 is: 2,070.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,556.66 : 2,328.11 = 1,384.54 : x
  2. Step 2: Convert to fraction form
    1,556.66/2,328.11 = 1,384.54/x
  3. Step 3: Cross multiply
    1,556.66x = 2,328.11 × 1,384.54
  4. Step 4: Simplify right side
    1,556.66x = 3,223,353.87
  5. Step 5: Solve for x
    x = 3,223,353.87/1,556.66
  6. Step 6: Final answer
    x = 2,070.68

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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.