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Finding the Fourth Proportional to 1,951.93, 2,928.99 and 782.02

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Solution

The fourth proportional to 1,951.93, 2,928.99 and 782.02 is: 1,173.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,951.93 : 2,928.99 = 782.02 : x
  2. Step 2: Convert to fraction form
    1,951.93/2,928.99 = 782.02/x
  3. Step 3: Cross multiply
    1,951.93x = 2,928.99 × 782.02
  4. Step 4: Simplify right side
    1,951.93x = 2,290,514.11
  5. Step 5: Solve for x
    x = 2,290,514.11/1,951.93
  6. Step 6: Final answer
    x = 1,173.46

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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.