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Finding the Fourth Proportional to 1,845, 2,546.10 and 1,059.53

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Solution

The fourth proportional to 1,845, 2,546.10 and 1,059.53 is: 1,462.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,845 : 2,546.10 = 1,059.53 : x
  2. Step 2: Convert to fraction form
    1,845/2,546.10 = 1,059.53/x
  3. Step 3: Cross multiply
    1,845x = 2,546.10 × 1,059.53
  4. Step 4: Simplify right side
    1,845x = 2,697,656.60
  5. Step 5: Solve for x
    x = 2,697,656.60/1,845
  6. Step 6: Final answer
    x = 1,462.14

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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.