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Finding the Fourth Proportional to 2,652.64, 3,975.48 and 1,007.56

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Solution

The fourth proportional to 2,652.64, 3,975.48 and 1,007.56 is: 1,510.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.64 : 3,975.48 = 1,007.56 : x
  2. Step 2: Convert to fraction form
    2,652.64/3,975.48 = 1,007.56/x
  3. Step 3: Cross multiply
    2,652.64x = 3,975.48 × 1,007.56
  4. Step 4: Simplify right side
    2,652.64x = 4,005,534.63
  5. Step 5: Solve for x
    x = 4,005,534.63/2,652.64
  6. Step 6: Final answer
    x = 1,510.02

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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.