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Finding the Fourth Proportional to 1,852.10, 2,776.03 and 876.82

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Solution

The fourth proportional to 1,852.10, 2,776.03 and 876.82 is: 1,314.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.10 : 2,776.03 = 876.82 : x
  2. Step 2: Convert to fraction form
    1,852.10/2,776.03 = 876.82/x
  3. Step 3: Cross multiply
    1,852.10x = 2,776.03 × 876.82
  4. Step 4: Simplify right side
    1,852.10x = 2,434,078.62
  5. Step 5: Solve for x
    x = 2,434,078.62/1,852.10
  6. Step 6: Final answer
    x = 1,314.23

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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.