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Finding the Fourth Proportional to 1,506.08, 2,076.60 and 1,424

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Solution

The fourth proportional to 1,506.08, 2,076.60 and 1,424 is: 1,963.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.08 : 2,076.60 = 1,424 : x
  2. Step 2: Convert to fraction form
    1,506.08/2,076.60 = 1,424/x
  3. Step 3: Cross multiply
    1,506.08x = 2,076.60 × 1,424
  4. Step 4: Simplify right side
    1,506.08x = 2,957,078.40
  5. Step 5: Solve for x
    x = 2,957,078.40/1,506.08
  6. Step 6: Final answer
    x = 1,963.43

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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.