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Finding the Fourth Proportional to 2,529.63, 3,491.03 and 1,410.55

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Solution

The fourth proportional to 2,529.63, 3,491.03 and 1,410.55 is: 1,946.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,529.63 : 3,491.03 = 1,410.55 : x
  2. Step 2: Convert to fraction form
    2,529.63/3,491.03 = 1,410.55/x
  3. Step 3: Cross multiply
    2,529.63x = 3,491.03 × 1,410.55
  4. Step 4: Simplify right side
    2,529.63x = 4,924,267.17
  5. Step 5: Solve for x
    x = 4,924,267.17/2,529.63
  6. Step 6: Final answer
    x = 1,946.64

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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.