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Finding the Fourth Proportional to 1,677.03, 2,315.10 and 1,180.10

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Solution

The fourth proportional to 1,677.03, 2,315.10 and 1,180.10 is: 1,629.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.03 : 2,315.10 = 1,180.10 : x
  2. Step 2: Convert to fraction form
    1,677.03/2,315.10 = 1,180.10/x
  3. Step 3: Cross multiply
    1,677.03x = 2,315.10 × 1,180.10
  4. Step 4: Simplify right side
    1,677.03x = 2,732,037.93
  5. Step 5: Solve for x
    x = 2,732,037.93/1,677.03
  6. Step 6: Final answer
    x = 1,629.09

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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.