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Finding the Fourth Proportional to 2,094.63, 2,888.97 and 1,534.89

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Solution

The fourth proportional to 2,094.63, 2,888.97 and 1,534.89 is: 2,116.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.63 : 2,888.97 = 1,534.89 : x
  2. Step 2: Convert to fraction form
    2,094.63/2,888.97 = 1,534.89/x
  3. Step 3: Cross multiply
    2,094.63x = 2,888.97 × 1,534.89
  4. Step 4: Simplify right side
    2,094.63x = 4,434,251.16
  5. Step 5: Solve for x
    x = 4,434,251.16/2,094.63
  6. Step 6: Final answer
    x = 2,116.96

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