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Finding the Fourth Proportional to 2,696.41, 3,720.48 and 1,752.34

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Solution

The fourth proportional to 2,696.41, 3,720.48 and 1,752.34 is: 2,417.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.41 : 3,720.48 = 1,752.34 : x
  2. Step 2: Convert to fraction form
    2,696.41/3,720.48 = 1,752.34/x
  3. Step 3: Cross multiply
    2,696.41x = 3,720.48 × 1,752.34
  4. Step 4: Simplify right side
    2,696.41x = 6,519,545.92
  5. Step 5: Solve for x
    x = 6,519,545.92/2,696.41
  6. Step 6: Final answer
    x = 2,417.86

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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.