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Finding the Fourth Proportional to 2,543.07, 3,509.79 and 2,122.76

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Solution

The fourth proportional to 2,543.07, 3,509.79 and 2,122.76 is: 2,929.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.07 : 3,509.79 = 2,122.76 : x
  2. Step 2: Convert to fraction form
    2,543.07/3,509.79 = 2,122.76/x
  3. Step 3: Cross multiply
    2,543.07x = 3,509.79 × 2,122.76
  4. Step 4: Simplify right side
    2,543.07x = 7,450,437.82
  5. Step 5: Solve for x
    x = 7,450,437.82/2,543.07
  6. Step 6: Final answer
    x = 2,929.70

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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.