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Finding the Fourth Proportional to 1,666.58, 2,300.60 and 1,268.29

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Solution

The fourth proportional to 1,666.58, 2,300.60 and 1,268.29 is: 1,750.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.58 : 2,300.60 = 1,268.29 : x
  2. Step 2: Convert to fraction form
    1,666.58/2,300.60 = 1,268.29/x
  3. Step 3: Cross multiply
    1,666.58x = 2,300.60 × 1,268.29
  4. Step 4: Simplify right side
    1,666.58x = 2,917,834.02
  5. Step 5: Solve for x
    x = 2,917,834.02/1,666.58
  6. Step 6: Final answer
    x = 1,750.80

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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.