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Finding the Fourth Proportional to 2,407.68, 3,613.62 and 1,176

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Solution

The fourth proportional to 2,407.68, 3,613.62 and 1,176 is: 1,765.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.68 : 3,613.62 = 1,176 : x
  2. Step 2: Convert to fraction form
    2,407.68/3,613.62 = 1,176/x
  3. Step 3: Cross multiply
    2,407.68x = 3,613.62 × 1,176
  4. Step 4: Simplify right side
    2,407.68x = 4,249,617.12
  5. Step 5: Solve for x
    x = 4,249,617.12/2,407.68
  6. Step 6: Final answer
    x = 1,765.03

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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.