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Finding the Fourth Proportional to 1,666.83, 2,304.60 and 1,386.96

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Solution

The fourth proportional to 1,666.83, 2,304.60 and 1,386.96 is: 1,917.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.83 : 2,304.60 = 1,386.96 : x
  2. Step 2: Convert to fraction form
    1,666.83/2,304.60 = 1,386.96/x
  3. Step 3: Cross multiply
    1,666.83x = 2,304.60 × 1,386.96
  4. Step 4: Simplify right side
    1,666.83x = 3,196,388.02
  5. Step 5: Solve for x
    x = 3,196,388.02/1,666.83
  6. Step 6: Final answer
    x = 1,917.64

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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.