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Finding the Fourth Proportional to 2,109.29, 2,907.50 and 1,445.00

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Solution

The fourth proportional to 2,109.29, 2,907.50 and 1,445.00 is: 1,991.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.29 : 2,907.50 = 1,445.00 : x
  2. Step 2: Convert to fraction form
    2,109.29/2,907.50 = 1,445.00/x
  3. Step 3: Cross multiply
    2,109.29x = 2,907.50 × 1,445.00
  4. Step 4: Simplify right side
    2,109.29x = 4,201,326.57
  5. Step 5: Solve for x
    x = 4,201,326.57/2,109.29
  6. Step 6: Final answer
    x = 1,991.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.