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Finding the Fourth Proportional to 2,543.94, 3,509.01 and 2,150.46

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Solution

The fourth proportional to 2,543.94, 3,509.01 and 2,150.46 is: 2,966.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.94 : 3,509.01 = 2,150.46 : x
  2. Step 2: Convert to fraction form
    2,543.94/3,509.01 = 2,150.46/x
  3. Step 3: Cross multiply
    2,543.94x = 3,509.01 × 2,150.46
  4. Step 4: Simplify right side
    2,543.94x = 7,545,985.64
  5. Step 5: Solve for x
    x = 7,545,985.64/2,543.94
  6. Step 6: Final answer
    x = 2,966.26

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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.