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Finding the Fourth Proportional to 1,812.87, 2,502.54 and 1,776.42

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Solution

The fourth proportional to 1,812.87, 2,502.54 and 1,776.42 is: 2,452.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,812.87 : 2,502.54 = 1,776.42 : x
  2. Step 2: Convert to fraction form
    1,812.87/2,502.54 = 1,776.42/x
  3. Step 3: Cross multiply
    1,812.87x = 2,502.54 × 1,776.42
  4. Step 4: Simplify right side
    1,812.87x = 4,445,562.11
  5. Step 5: Solve for x
    x = 4,445,562.11/1,812.87
  6. Step 6: Final answer
    x = 2,452.22

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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.