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Finding the Fourth Proportional to 1,818.68, 2,510.08 and 1,072.82

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Solution

The fourth proportional to 1,818.68, 2,510.08 and 1,072.82 is: 1,480.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,818.68 : 2,510.08 = 1,072.82 : x
  2. Step 2: Convert to fraction form
    1,818.68/2,510.08 = 1,072.82/x
  3. Step 3: Cross multiply
    1,818.68x = 2,510.08 × 1,072.82
  4. Step 4: Simplify right side
    1,818.68x = 2,692,871.64
  5. Step 5: Solve for x
    x = 2,692,871.64/1,818.68
  6. Step 6: Final answer
    x = 1,480.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.