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Finding the Fourth Proportional to 2,101, 2,899.48 and 1,169.50

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Solution

The fourth proportional to 2,101, 2,899.48 and 1,169.50 is: 1,613.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101 : 2,899.48 = 1,169.50 : x
  2. Step 2: Convert to fraction form
    2,101/2,899.48 = 1,169.50/x
  3. Step 3: Cross multiply
    2,101x = 2,899.48 × 1,169.50
  4. Step 4: Simplify right side
    2,101x = 3,390,941.86
  5. Step 5: Solve for x
    x = 3,390,941.86/2,101
  6. Step 6: Final answer
    x = 1,613.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.