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Finding the Fourth Proportional to 1,688.72, 2,329.18 and 1,269.09

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Solution

The fourth proportional to 1,688.72, 2,329.18 and 1,269.09 is: 1,750.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.72 : 2,329.18 = 1,269.09 : x
  2. Step 2: Convert to fraction form
    1,688.72/2,329.18 = 1,269.09/x
  3. Step 3: Cross multiply
    1,688.72x = 2,329.18 × 1,269.09
  4. Step 4: Simplify right side
    1,688.72x = 2,955,939.05
  5. Step 5: Solve for x
    x = 2,955,939.05/1,688.72
  6. Step 6: Final answer
    x = 1,750.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.