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Finding the Fourth Proportional to 2,091.34, 2,886.04 and 1,147.13

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Solution

The fourth proportional to 2,091.34, 2,886.04 and 1,147.13 is: 1,583.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.34 : 2,886.04 = 1,147.13 : x
  2. Step 2: Convert to fraction form
    2,091.34/2,886.04 = 1,147.13/x
  3. Step 3: Cross multiply
    2,091.34x = 2,886.04 × 1,147.13
  4. Step 4: Simplify right side
    2,091.34x = 3,310,663.07
  5. Step 5: Solve for x
    x = 3,310,663.07/2,091.34
  6. Step 6: Final answer
    x = 1,583.03

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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.