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Finding the Fourth Proportional to 1,934.96, 2,899.20 and 1,355

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Solution

The fourth proportional to 1,934.96, 2,899.20 and 1,355 is: 2,030.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,934.96 : 2,899.20 = 1,355 : x
  2. Step 2: Convert to fraction form
    1,934.96/2,899.20 = 1,355/x
  3. Step 3: Cross multiply
    1,934.96x = 2,899.20 × 1,355
  4. Step 4: Simplify right side
    1,934.96x = 3,928,416.00
  5. Step 5: Solve for x
    x = 3,928,416.00/1,934.96
  6. Step 6: Final answer
    x = 2,030.23

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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.