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Finding the Fourth Proportional to 1,673.96, 2,509.11 and 1,429.74

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Solution

The fourth proportional to 1,673.96, 2,509.11 and 1,429.74 is: 2,143.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,673.96 : 2,509.11 = 1,429.74 : x
  2. Step 2: Convert to fraction form
    1,673.96/2,509.11 = 1,429.74/x
  3. Step 3: Cross multiply
    1,673.96x = 2,509.11 × 1,429.74
  4. Step 4: Simplify right side
    1,673.96x = 3,587,374.93
  5. Step 5: Solve for x
    x = 3,587,374.93/1,673.96
  6. Step 6: Final answer
    x = 2,143.05

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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.