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Finding the Fourth Proportional to 1,670.13, 2,504.27 and 940.52

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Solution

The fourth proportional to 1,670.13, 2,504.27 and 940.52 is: 1,410.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.13 : 2,504.27 = 940.52 : x
  2. Step 2: Convert to fraction form
    1,670.13/2,504.27 = 940.52/x
  3. Step 3: Cross multiply
    1,670.13x = 2,504.27 × 940.52
  4. Step 4: Simplify right side
    1,670.13x = 2,355,298.80
  5. Step 5: Solve for x
    x = 2,355,298.80/1,670.13
  6. Step 6: Final answer
    x = 1,410.25

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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.