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Finding the Fourth Proportional to 1,255.10, 1,878.93 and 931.90

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Solution

The fourth proportional to 1,255.10, 1,878.93 and 931.90 is: 1,395.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.10 : 1,878.93 = 931.90 : x
  2. Step 2: Convert to fraction form
    1,255.10/1,878.93 = 931.90/x
  3. Step 3: Cross multiply
    1,255.10x = 1,878.93 × 931.90
  4. Step 4: Simplify right side
    1,255.10x = 1,750,974.87
  5. Step 5: Solve for x
    x = 1,750,974.87/1,255.10
  6. Step 6: Final answer
    x = 1,395.09

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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.