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Finding the Fourth Proportional to 1,416.60, 1,953.27 and 1,297.53

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Solution

The fourth proportional to 1,416.60, 1,953.27 and 1,297.53 is: 1,789.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.60 : 1,953.27 = 1,297.53 : x
  2. Step 2: Convert to fraction form
    1,416.60/1,953.27 = 1,297.53/x
  3. Step 3: Cross multiply
    1,416.60x = 1,953.27 × 1,297.53
  4. Step 4: Simplify right side
    1,416.60x = 2,534,426.42
  5. Step 5: Solve for x
    x = 2,534,426.42/1,416.60
  6. Step 6: Final answer
    x = 1,789.09

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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.