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Finding the Fourth Proportional to 1,845.60, 2,546.64 and 1,059.50

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Solution

The fourth proportional to 1,845.60, 2,546.64 and 1,059.50 is: 1,461.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,845.60 : 2,546.64 = 1,059.50 : x
  2. Step 2: Convert to fraction form
    1,845.60/2,546.64 = 1,059.50/x
  3. Step 3: Cross multiply
    1,845.60x = 2,546.64 × 1,059.50
  4. Step 4: Simplify right side
    1,845.60x = 2,698,165.08
  5. Step 5: Solve for x
    x = 2,698,165.08/1,845.60
  6. Step 6: Final answer
    x = 1,461.94

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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.