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Finding the Fourth Proportional to 2,674.61, 3,689.72 and 1,730.70

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Solution

The fourth proportional to 2,674.61, 3,689.72 and 1,730.70 is: 2,387.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.61 : 3,689.72 = 1,730.70 : x
  2. Step 2: Convert to fraction form
    2,674.61/3,689.72 = 1,730.70/x
  3. Step 3: Cross multiply
    2,674.61x = 3,689.72 × 1,730.70
  4. Step 4: Simplify right side
    2,674.61x = 6,385,803.59
  5. Step 5: Solve for x
    x = 6,385,803.59/2,674.61
  6. Step 6: Final answer
    x = 2,387.57

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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.