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Finding the Fourth Proportional to 1,673.22, 2,319.06 and 1,642.11

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Solution

The fourth proportional to 1,673.22, 2,319.06 and 1,642.11 is: 2,275.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,673.22 : 2,319.06 = 1,642.11 : x
  2. Step 2: Convert to fraction form
    1,673.22/2,319.06 = 1,642.11/x
  3. Step 3: Cross multiply
    1,673.22x = 2,319.06 × 1,642.11
  4. Step 4: Simplify right side
    1,673.22x = 3,808,149.08
  5. Step 5: Solve for x
    x = 3,808,149.08/1,673.22
  6. Step 6: Final answer
    x = 2,275.94

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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.