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Finding the Fourth Proportional to 1,925.52, 2,890.02 and 1,196.52

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Solution

The fourth proportional to 1,925.52, 2,890.02 and 1,196.52 is: 1,795.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,925.52 : 2,890.02 = 1,196.52 : x
  2. Step 2: Convert to fraction form
    1,925.52/2,890.02 = 1,196.52/x
  3. Step 3: Cross multiply
    1,925.52x = 2,890.02 × 1,196.52
  4. Step 4: Simplify right side
    1,925.52x = 3,457,966.73
  5. Step 5: Solve for x
    x = 3,457,966.73/1,925.52
  6. Step 6: Final answer
    x = 1,795.86

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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.