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Finding the Fourth Proportional to 1,666.40, 2,309.35 and 1,642.91

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Solution

The fourth proportional to 1,666.40, 2,309.35 and 1,642.91 is: 2,276.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.40 : 2,309.35 = 1,642.91 : x
  2. Step 2: Convert to fraction form
    1,666.40/2,309.35 = 1,642.91/x
  3. Step 3: Cross multiply
    1,666.40x = 2,309.35 × 1,642.91
  4. Step 4: Simplify right side
    1,666.40x = 3,794,054.21
  5. Step 5: Solve for x
    x = 3,794,054.21/1,666.40
  6. Step 6: Final answer
    x = 2,276.80

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.