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Finding the Fourth Proportional to 2,818.64, 3,890.01 and 1,756.49

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Solution

The fourth proportional to 2,818.64, 3,890.01 and 1,756.49 is: 2,424.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,818.64 : 3,890.01 = 1,756.49 : x
  2. Step 2: Convert to fraction form
    2,818.64/3,890.01 = 1,756.49/x
  3. Step 3: Cross multiply
    2,818.64x = 3,890.01 × 1,756.49
  4. Step 4: Simplify right side
    2,818.64x = 6,832,777.78
  5. Step 5: Solve for x
    x = 6,832,777.78/2,818.64
  6. Step 6: Final answer
    x = 2,424.14

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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.