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Finding the Fourth Proportional to 2,148.76, 2,963.46 and 1,484.56

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Solution

The fourth proportional to 2,148.76, 2,963.46 and 1,484.56 is: 2,047.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.76 : 2,963.46 = 1,484.56 : x
  2. Step 2: Convert to fraction form
    2,148.76/2,963.46 = 1,484.56/x
  3. Step 3: Cross multiply
    2,148.76x = 2,963.46 × 1,484.56
  4. Step 4: Simplify right side
    2,148.76x = 4,399,434.18
  5. Step 5: Solve for x
    x = 4,399,434.18/2,148.76
  6. Step 6: Final answer
    x = 2,047.43

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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.