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Finding the Fourth Proportional to 2,748.12, 3,798.64 and 2,530.15

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Solution

The fourth proportional to 2,748.12, 3,798.64 and 2,530.15 is: 3,497.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,748.12 : 3,798.64 = 2,530.15 : x
  2. Step 2: Convert to fraction form
    2,748.12/3,798.64 = 2,530.15/x
  3. Step 3: Cross multiply
    2,748.12x = 3,798.64 × 2,530.15
  4. Step 4: Simplify right side
    2,748.12x = 9,611,129.00
  5. Step 5: Solve for x
    x = 9,611,129.00/2,748.12
  6. Step 6: Final answer
    x = 3,497.35

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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.