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Finding the Fourth Proportional to 2,530.64, 3,505.84 and 2,470.16

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Solution

The fourth proportional to 2,530.64, 3,505.84 and 2,470.16 is: 3,422.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,530.64 : 3,505.84 = 2,470.16 : x
  2. Step 2: Convert to fraction form
    2,530.64/3,505.84 = 2,470.16/x
  3. Step 3: Cross multiply
    2,530.64x = 3,505.84 × 2,470.16
  4. Step 4: Simplify right side
    2,530.64x = 8,659,985.73
  5. Step 5: Solve for x
    x = 8,659,985.73/2,530.64
  6. Step 6: Final answer
    x = 3,422.05

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.