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Finding the Fourth Proportional to 1,951.94, 2,925.66 and 1,658.54

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Solution

The fourth proportional to 1,951.94, 2,925.66 and 1,658.54 is: 2,485.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,951.94 : 2,925.66 = 1,658.54 : x
  2. Step 2: Convert to fraction form
    1,951.94/2,925.66 = 1,658.54/x
  3. Step 3: Cross multiply
    1,951.94x = 2,925.66 × 1,658.54
  4. Step 4: Simplify right side
    1,951.94x = 4,852,324.14
  5. Step 5: Solve for x
    x = 4,852,324.14/1,951.94
  6. Step 6: Final answer
    x = 2,485.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.