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Finding the Fourth Proportional to 2,529.72, 3,490.88 and 1,410.60

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Solution

The fourth proportional to 2,529.72, 3,490.88 and 1,410.60 is: 1,946.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,529.72 : 3,490.88 = 1,410.60 : x
  2. Step 2: Convert to fraction form
    2,529.72/3,490.88 = 1,410.60/x
  3. Step 3: Cross multiply
    2,529.72x = 3,490.88 × 1,410.60
  4. Step 4: Simplify right side
    2,529.72x = 4,924,235.33
  5. Step 5: Solve for x
    x = 4,924,235.33/2,529.72
  6. Step 6: Final answer
    x = 1,946.55

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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.