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Finding the Fourth Proportional to 1,485.61, 2,049.60 and 895.93

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Solution

The fourth proportional to 1,485.61, 2,049.60 and 895.93 is: 1,236.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,485.61 : 2,049.60 = 895.93 : x
  2. Step 2: Convert to fraction form
    1,485.61/2,049.60 = 895.93/x
  3. Step 3: Cross multiply
    1,485.61x = 2,049.60 × 895.93
  4. Step 4: Simplify right side
    1,485.61x = 1,836,296.36
  5. Step 5: Solve for x
    x = 1,836,296.36/1,485.61
  6. Step 6: Final answer
    x = 1,236.06

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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.