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Finding the Fourth Proportional to 2,508.40, 3,762.54 and 1,047.64

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Solution

The fourth proportional to 2,508.40, 3,762.54 and 1,047.64 is: 1,571.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508.40 : 3,762.54 = 1,047.64 : x
  2. Step 2: Convert to fraction form
    2,508.40/3,762.54 = 1,047.64/x
  3. Step 3: Cross multiply
    2,508.40x = 3,762.54 × 1,047.64
  4. Step 4: Simplify right side
    2,508.40x = 3,941,787.41
  5. Step 5: Solve for x
    x = 3,941,787.41/2,508.40
  6. Step 6: Final answer
    x = 1,571.43

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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.