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Finding the Fourth Proportional to 2,673.57, 3,689.64 and 1,678.08

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Solution

The fourth proportional to 2,673.57, 3,689.64 and 1,678.08 is: 2,315.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,673.57 : 3,689.64 = 1,678.08 : x
  2. Step 2: Convert to fraction form
    2,673.57/3,689.64 = 1,678.08/x
  3. Step 3: Cross multiply
    2,673.57x = 3,689.64 × 1,678.08
  4. Step 4: Simplify right side
    2,673.57x = 6,191,511.09
  5. Step 5: Solve for x
    x = 6,191,511.09/2,673.57
  6. Step 6: Final answer
    x = 2,315.82

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1.5x scale

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.