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Finding the Fourth Proportional to 1,673.40, 2,513.70 and 1,612.20

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Solution

The fourth proportional to 1,673.40, 2,513.70 and 1,612.20 is: 2,421.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,673.40 : 2,513.70 = 1,612.20 : x
  2. Step 2: Convert to fraction form
    1,673.40/2,513.70 = 1,612.20/x
  3. Step 3: Cross multiply
    1,673.40x = 2,513.70 × 1,612.20
  4. Step 4: Simplify right side
    1,673.40x = 4,052,587.14
  5. Step 5: Solve for x
    x = 4,052,587.14/1,673.40
  6. Step 6: Final answer
    x = 2,421.77

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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.