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Finding the Fourth Proportional to 1,649.62, 2,278.02 and 1,316.98

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Solution

The fourth proportional to 1,649.62, 2,278.02 and 1,316.98 is: 1,818.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.62 : 2,278.02 = 1,316.98 : x
  2. Step 2: Convert to fraction form
    1,649.62/2,278.02 = 1,316.98/x
  3. Step 3: Cross multiply
    1,649.62x = 2,278.02 × 1,316.98
  4. Step 4: Simplify right side
    1,649.62x = 3,000,106.78
  5. Step 5: Solve for x
    x = 3,000,106.78/1,649.62
  6. Step 6: Final answer
    x = 1,818.67

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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.