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Finding the Fourth Proportional to 1,776.94, 2,453.09 and 1,114.46

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Solution

The fourth proportional to 1,776.94, 2,453.09 and 1,114.46 is: 1,538.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.94 : 2,453.09 = 1,114.46 : x
  2. Step 2: Convert to fraction form
    1,776.94/2,453.09 = 1,114.46/x
  3. Step 3: Cross multiply
    1,776.94x = 2,453.09 × 1,114.46
  4. Step 4: Simplify right side
    1,776.94x = 2,733,862.04
  5. Step 5: Solve for x
    x = 2,733,862.04/1,776.94
  6. Step 6: Final answer
    x = 1,538.52

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