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Finding the Fourth Proportional to 2,476.54, 3,710.49 and 1,503.46

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Solution

The fourth proportional to 2,476.54, 3,710.49 and 1,503.46 is: 2,252.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.54 : 3,710.49 = 1,503.46 : x
  2. Step 2: Convert to fraction form
    2,476.54/3,710.49 = 1,503.46/x
  3. Step 3: Cross multiply
    2,476.54x = 3,710.49 × 1,503.46
  4. Step 4: Simplify right side
    2,476.54x = 5,578,573.30
  5. Step 5: Solve for x
    x = 5,578,573.30/2,476.54
  6. Step 6: Final answer
    x = 2,252.57

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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.