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Finding the Fourth Proportional to 1,504.59, 2,076.70 and 974.06

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Solution

The fourth proportional to 1,504.59, 2,076.70 and 974.06 is: 1,344.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.59 : 2,076.70 = 974.06 : x
  2. Step 2: Convert to fraction form
    1,504.59/2,076.70 = 974.06/x
  3. Step 3: Cross multiply
    1,504.59x = 2,076.70 × 974.06
  4. Step 4: Simplify right side
    1,504.59x = 2,022,830.40
  5. Step 5: Solve for x
    x = 2,022,830.40/1,504.59
  6. Step 6: Final answer
    x = 1,344.44

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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.