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Finding the Fourth Proportional to 2,327.51, 3,491.28 and 684.08

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Solution

The fourth proportional to 2,327.51, 3,491.28 and 684.08 is: 1,026.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.51 : 3,491.28 = 684.08 : x
  2. Step 2: Convert to fraction form
    2,327.51/3,491.28 = 684.08/x
  3. Step 3: Cross multiply
    2,327.51x = 3,491.28 × 684.08
  4. Step 4: Simplify right side
    2,327.51x = 2,388,323.55
  5. Step 5: Solve for x
    x = 2,388,323.55/2,327.51
  6. Step 6: Final answer
    x = 1,026.13

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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.