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Finding the Fourth Proportional to 1,613.08, 2,415.42 and 881.16

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Solution

The fourth proportional to 1,613.08, 2,415.42 and 881.16 is: 1,319.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.08 : 2,415.42 = 881.16 : x
  2. Step 2: Convert to fraction form
    1,613.08/2,415.42 = 881.16/x
  3. Step 3: Cross multiply
    1,613.08x = 2,415.42 × 881.16
  4. Step 4: Simplify right side
    1,613.08x = 2,128,359.41
  5. Step 5: Solve for x
    x = 2,128,359.41/1,613.08
  6. Step 6: Final answer
    x = 1,319.44

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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.