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Finding the Fourth Proportional to 1,852.16, 2,762.26 and 1,827.44

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Solution

The fourth proportional to 1,852.16, 2,762.26 and 1,827.44 is: 2,725.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.16 : 2,762.26 = 1,827.44 : x
  2. Step 2: Convert to fraction form
    1,852.16/2,762.26 = 1,827.44/x
  3. Step 3: Cross multiply
    1,852.16x = 2,762.26 × 1,827.44
  4. Step 4: Simplify right side
    1,852.16x = 5,047,864.41
  5. Step 5: Solve for x
    x = 5,047,864.41/1,852.16
  6. Step 6: Final answer
    x = 2,725.39

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.