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Finding the Fourth Proportional to 1,485.34, 2,049.86 and 954.53

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Solution

The fourth proportional to 1,485.34, 2,049.86 and 954.53 is: 1,317.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,485.34 : 2,049.86 = 954.53 : x
  2. Step 2: Convert to fraction form
    1,485.34/2,049.86 = 954.53/x
  3. Step 3: Cross multiply
    1,485.34x = 2,049.86 × 954.53
  4. Step 4: Simplify right side
    1,485.34x = 1,956,658.85
  5. Step 5: Solve for x
    x = 1,956,658.85/1,485.34
  6. Step 6: Final answer
    x = 1,317.32

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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.