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Finding the Fourth Proportional to 2,529.70, 3,490.97 and 1,410.65

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Solution

The fourth proportional to 2,529.70, 3,490.97 and 1,410.65 is: 1,946.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,529.70 : 3,490.97 = 1,410.65 : x
  2. Step 2: Convert to fraction form
    2,529.70/3,490.97 = 1,410.65/x
  3. Step 3: Cross multiply
    2,529.70x = 3,490.97 × 1,410.65
  4. Step 4: Simplify right side
    2,529.70x = 4,924,543.17
  5. Step 5: Solve for x
    x = 4,924,543.17/2,529.70
  6. Step 6: Final answer
    x = 1,946.69

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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.