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Finding the Fourth Proportional to 2,528.64, 3,490.02 and 1,644.93

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Solution

The fourth proportional to 2,528.64, 3,490.02 and 1,644.93 is: 2,270.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,528.64 : 3,490.02 = 1,644.93 : x
  2. Step 2: Convert to fraction form
    2,528.64/3,490.02 = 1,644.93/x
  3. Step 3: Cross multiply
    2,528.64x = 3,490.02 × 1,644.93
  4. Step 4: Simplify right side
    2,528.64x = 5,740,838.60
  5. Step 5: Solve for x
    x = 5,740,838.60/2,528.64
  6. Step 6: Final answer
    x = 2,270.33

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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.