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Finding the Fourth Proportional to 1,742.34, 2,613.43 and 864.51

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Solution

The fourth proportional to 1,742.34, 2,613.43 and 864.51 is: 1,296.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.34 : 2,613.43 = 864.51 : x
  2. Step 2: Convert to fraction form
    1,742.34/2,613.43 = 864.51/x
  3. Step 3: Cross multiply
    1,742.34x = 2,613.43 × 864.51
  4. Step 4: Simplify right side
    1,742.34x = 2,259,327.65
  5. Step 5: Solve for x
    x = 2,259,327.65/1,742.34
  6. Step 6: Final answer
    x = 1,296.72

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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.