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Finding the Fourth Proportional to 1,852.32, 2,556.72 and 1,824.24

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Solution

The fourth proportional to 1,852.32, 2,556.72 and 1,824.24 is: 2,517.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.32 : 2,556.72 = 1,824.24 : x
  2. Step 2: Convert to fraction form
    1,852.32/2,556.72 = 1,824.24/x
  3. Step 3: Cross multiply
    1,852.32x = 2,556.72 × 1,824.24
  4. Step 4: Simplify right side
    1,852.32x = 4,664,070.89
  5. Step 5: Solve for x
    x = 4,664,070.89/1,852.32
  6. Step 6: Final answer
    x = 2,517.96

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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.