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Finding the Fourth Proportional to 1,410.60, 2,112.64 and 1,343.64

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Solution

The fourth proportional to 1,410.60, 2,112.64 and 1,343.64 is: 2,012.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.60 : 2,112.64 = 1,343.64 : x
  2. Step 2: Convert to fraction form
    1,410.60/2,112.64 = 1,343.64/x
  3. Step 3: Cross multiply
    1,410.60x = 2,112.64 × 1,343.64
  4. Step 4: Simplify right side
    1,410.60x = 2,838,627.61
  5. Step 5: Solve for x
    x = 2,838,627.61/1,410.60
  6. Step 6: Final answer
    x = 2,012.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.