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Finding the Fourth Proportional to 1,782.81, 2,457.14 and 1,503.77

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Solution

The fourth proportional to 1,782.81, 2,457.14 and 1,503.77 is: 2,072.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.81 : 2,457.14 = 1,503.77 : x
  2. Step 2: Convert to fraction form
    1,782.81/2,457.14 = 1,503.77/x
  3. Step 3: Cross multiply
    1,782.81x = 2,457.14 × 1,503.77
  4. Step 4: Simplify right side
    1,782.81x = 3,694,953.61
  5. Step 5: Solve for x
    x = 3,694,953.61/1,782.81
  6. Step 6: Final answer
    x = 2,072.54

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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.