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Finding the Fourth Proportional to 2,686.77, 3,707.78 and 1,742.94

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Solution

The fourth proportional to 2,686.77, 3,707.78 and 1,742.94 is: 2,405.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.77 : 3,707.78 = 1,742.94 : x
  2. Step 2: Convert to fraction form
    2,686.77/3,707.78 = 1,742.94/x
  3. Step 3: Cross multiply
    2,686.77x = 3,707.78 × 1,742.94
  4. Step 4: Simplify right side
    2,686.77x = 6,462,429.36
  5. Step 5: Solve for x
    x = 6,462,429.36/2,686.77
  6. Step 6: Final answer
    x = 2,405.28

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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.