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Finding the Fourth Proportional to 2,141.94, 3,209.81 and 1,045.07

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Solution

The fourth proportional to 2,141.94, 3,209.81 and 1,045.07 is: 1,566.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.94 : 3,209.81 = 1,045.07 : x
  2. Step 2: Convert to fraction form
    2,141.94/3,209.81 = 1,045.07/x
  3. Step 3: Cross multiply
    2,141.94x = 3,209.81 × 1,045.07
  4. Step 4: Simplify right side
    2,141.94x = 3,354,454.86
  5. Step 5: Solve for x
    x = 3,354,454.86/2,141.94
  6. Step 6: Final answer
    x = 1,566.08

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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.