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Finding the Fourth Proportional to 2,810.80, 3,875.28 and 1,814.32

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Solution

The fourth proportional to 2,810.80, 3,875.28 and 1,814.32 is: 2,501.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.80 : 3,875.28 = 1,814.32 : x
  2. Step 2: Convert to fraction form
    2,810.80/3,875.28 = 1,814.32/x
  3. Step 3: Cross multiply
    2,810.80x = 3,875.28 × 1,814.32
  4. Step 4: Simplify right side
    2,810.80x = 7,030,998.01
  5. Step 5: Solve for x
    x = 7,030,998.01/2,810.80
  6. Step 6: Final answer
    x = 2,501.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.