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Finding the Fourth Proportional to 3,094.80, 4,642.72 and 1,534.88

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Solution

The fourth proportional to 3,094.80, 4,642.72 and 1,534.88 is: 2,302.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,094.80 : 4,642.72 = 1,534.88 : x
  2. Step 2: Convert to fraction form
    3,094.80/4,642.72 = 1,534.88/x
  3. Step 3: Cross multiply
    3,094.80x = 4,642.72 × 1,534.88
  4. Step 4: Simplify right side
    3,094.80x = 7,126,018.07
  5. Step 5: Solve for x
    x = 7,126,018.07/3,094.80
  6. Step 6: Final answer
    x = 2,302.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.