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Finding the Fourth Proportional to 2,103.37, 3,154.83 and 933.40

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Solution

The fourth proportional to 2,103.37, 3,154.83 and 933.40 is: 1,400.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.37 : 3,154.83 = 933.40 : x
  2. Step 2: Convert to fraction form
    2,103.37/3,154.83 = 933.40/x
  3. Step 3: Cross multiply
    2,103.37x = 3,154.83 × 933.40
  4. Step 4: Simplify right side
    2,103.37x = 2,944,718.32
  5. Step 5: Solve for x
    x = 2,944,718.32/2,103.37
  6. Step 6: Final answer
    x = 1,400.00

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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.