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Finding the Fourth Proportional to 1,613.85, 2,421.07 and 640.02

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Solution

The fourth proportional to 1,613.85, 2,421.07 and 640.02 is: 960.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.85 : 2,421.07 = 640.02 : x
  2. Step 2: Convert to fraction form
    1,613.85/2,421.07 = 640.02/x
  3. Step 3: Cross multiply
    1,613.85x = 2,421.07 × 640.02
  4. Step 4: Simplify right side
    1,613.85x = 1,549,533.22
  5. Step 5: Solve for x
    x = 1,549,533.22/1,613.85
  6. Step 6: Final answer
    x = 960.15

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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.