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Finding the Fourth Proportional to 2,046.90, 2,869.50 and 2,046.90

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Solution

The fourth proportional to 2,046.90, 2,869.50 and 2,046.90 is: 2,869.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.90 : 2,869.50 = 2,046.90 : x
  2. Step 2: Convert to fraction form
    2,046.90/2,869.50 = 2,046.90/x
  3. Step 3: Cross multiply
    2,046.90x = 2,869.50 × 2,046.90
  4. Step 4: Simplify right side
    2,046.90x = 5,873,579.55
  5. Step 5: Solve for x
    x = 5,873,579.55/2,046.90
  6. Step 6: Final answer
    x = 2,869.50

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.