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Finding the Fourth Proportional to 1,775.42, 2,673.46 and 1,316.46

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Solution

The fourth proportional to 1,775.42, 2,673.46 and 1,316.46 is: 1,982.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775.42 : 2,673.46 = 1,316.46 : x
  2. Step 2: Convert to fraction form
    1,775.42/2,673.46 = 1,316.46/x
  3. Step 3: Cross multiply
    1,775.42x = 2,673.46 × 1,316.46
  4. Step 4: Simplify right side
    1,775.42x = 3,519,503.15
  5. Step 5: Solve for x
    x = 3,519,503.15/1,775.42
  6. Step 6: Final answer
    x = 1,982.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.