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Finding the Fourth Proportional to 1,666.53, 2,298.42 and 1,194.53

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Solution

The fourth proportional to 1,666.53, 2,298.42 and 1,194.53 is: 1,647.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.53 : 2,298.42 = 1,194.53 : x
  2. Step 2: Convert to fraction form
    1,666.53/2,298.42 = 1,194.53/x
  3. Step 3: Cross multiply
    1,666.53x = 2,298.42 × 1,194.53
  4. Step 4: Simplify right side
    1,666.53x = 2,745,520.15
  5. Step 5: Solve for x
    x = 2,745,520.15/1,666.53
  6. Step 6: Final answer
    x = 1,647.45

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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.