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Finding the Fourth Proportional to 3,461.33, 4,776 and 1,969.16

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Solution

The fourth proportional to 3,461.33, 4,776 and 1,969.16 is: 2,717.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.33 : 4,776 = 1,969.16 : x
  2. Step 2: Convert to fraction form
    3,461.33/4,776 = 1,969.16/x
  3. Step 3: Cross multiply
    3,461.33x = 4,776 × 1,969.16
  4. Step 4: Simplify right side
    3,461.33x = 9,404,720.10
  5. Step 5: Solve for x
    x = 9,404,720.10/3,461.33
  6. Step 6: Final answer
    x = 2,717.08

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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.