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Finding the Fourth Proportional to 1,674.95, 2,512.02 and 1,308.83

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Solution

The fourth proportional to 1,674.95, 2,512.02 and 1,308.83 is: 1,962.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.95 : 2,512.02 = 1,308.83 : x
  2. Step 2: Convert to fraction form
    1,674.95/2,512.02 = 1,308.83/x
  3. Step 3: Cross multiply
    1,674.95x = 2,512.02 × 1,308.83
  4. Step 4: Simplify right side
    1,674.95x = 3,287,807.14
  5. Step 5: Solve for x
    x = 3,287,807.14/1,674.95
  6. Step 6: Final answer
    x = 1,962.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.