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Finding the Fourth Proportional to 2,100.72, 2,887.08 and 2,042.40

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Solution

The fourth proportional to 2,100.72, 2,887.08 and 2,042.40 is: 2,806.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.72 : 2,887.08 = 2,042.40 : x
  2. Step 2: Convert to fraction form
    2,100.72/2,887.08 = 2,042.40/x
  3. Step 3: Cross multiply
    2,100.72x = 2,887.08 × 2,042.40
  4. Step 4: Simplify right side
    2,100.72x = 5,896,572.19
  5. Step 5: Solve for x
    x = 5,896,572.19/2,100.72
  6. Step 6: Final answer
    x = 2,806.93

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.