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Finding the Fourth Proportional to 2,543.79, 3,818.09 and 1,312.05

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Solution

The fourth proportional to 2,543.79, 3,818.09 and 1,312.05 is: 1,969.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.79 : 3,818.09 = 1,312.05 : x
  2. Step 2: Convert to fraction form
    2,543.79/3,818.09 = 1,312.05/x
  3. Step 3: Cross multiply
    2,543.79x = 3,818.09 × 1,312.05
  4. Step 4: Simplify right side
    2,543.79x = 5,009,524.98
  5. Step 5: Solve for x
    x = 5,009,524.98/2,543.79
  6. Step 6: Final answer
    x = 1,969.32

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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.