Home / 1,742.23-2,613.10-646.44

Finding the Fourth Proportional to 1,742.23, 2,613.10 and 646.44

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Solution

The fourth proportional to 1,742.23, 2,613.10 and 646.44 is: 969.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.23 : 2,613.10 = 646.44 : x
  2. Step 2: Convert to fraction form
    1,742.23/2,613.10 = 646.44/x
  3. Step 3: Cross multiply
    1,742.23x = 2,613.10 × 646.44
  4. Step 4: Simplify right side
    1,742.23x = 1,689,212.36
  5. Step 5: Solve for x
    x = 1,689,212.36/1,742.23
  6. Step 6: Final answer
    x = 969.57

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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.