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Finding the Fourth Proportional to 1,666.85, 2,301.21 and 1,482.30

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Solution

The fourth proportional to 1,666.85, 2,301.21 and 1,482.30 is: 2,046.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.85 : 2,301.21 = 1,482.30 : x
  2. Step 2: Convert to fraction form
    1,666.85/2,301.21 = 1,482.30/x
  3. Step 3: Cross multiply
    1,666.85x = 2,301.21 × 1,482.30
  4. Step 4: Simplify right side
    1,666.85x = 3,411,083.58
  5. Step 5: Solve for x
    x = 3,411,083.58/1,666.85
  6. Step 6: Final answer
    x = 2,046.43

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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.