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Finding the Fourth Proportional to 1,855.10, 2,560.46 and 1,147.57

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Solution

The fourth proportional to 1,855.10, 2,560.46 and 1,147.57 is: 1,583.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.10 : 2,560.46 = 1,147.57 : x
  2. Step 2: Convert to fraction form
    1,855.10/2,560.46 = 1,147.57/x
  3. Step 3: Cross multiply
    1,855.10x = 2,560.46 × 1,147.57
  4. Step 4: Simplify right side
    1,855.10x = 2,938,301.40
  5. Step 5: Solve for x
    x = 2,938,301.40/1,855.10
  6. Step 6: Final answer
    x = 1,583.90

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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.