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Finding the Fourth Proportional to 2,612.94, 3,920.58 and 1,315.32

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Solution

The fourth proportional to 2,612.94, 3,920.58 and 1,315.32 is: 1,973.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,612.94 : 3,920.58 = 1,315.32 : x
  2. Step 2: Convert to fraction form
    2,612.94/3,920.58 = 1,315.32/x
  3. Step 3: Cross multiply
    2,612.94x = 3,920.58 × 1,315.32
  4. Step 4: Simplify right side
    2,612.94x = 5,156,817.29
  5. Step 5: Solve for x
    x = 5,156,817.29/2,612.94
  6. Step 6: Final answer
    x = 1,973.57

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1.5x scale

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.