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Finding the Fourth Proportional to 1,875.29, 2,810.79 and 1,143.24

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Solution

The fourth proportional to 1,875.29, 2,810.79 and 1,143.24 is: 1,713.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.29 : 2,810.79 = 1,143.24 : x
  2. Step 2: Convert to fraction form
    1,875.29/2,810.79 = 1,143.24/x
  3. Step 3: Cross multiply
    1,875.29x = 2,810.79 × 1,143.24
  4. Step 4: Simplify right side
    1,875.29x = 3,213,407.56
  5. Step 5: Solve for x
    x = 3,213,407.56/1,875.29
  6. Step 6: Final answer
    x = 1,713.55

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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.