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Finding the Fourth Proportional to 1,681.67, 2,316.02 and 1,645.36

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Solution

The fourth proportional to 1,681.67, 2,316.02 and 1,645.36 is: 2,266.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.67 : 2,316.02 = 1,645.36 : x
  2. Step 2: Convert to fraction form
    1,681.67/2,316.02 = 1,645.36/x
  3. Step 3: Cross multiply
    1,681.67x = 2,316.02 × 1,645.36
  4. Step 4: Simplify right side
    1,681.67x = 3,810,672.65
  5. Step 5: Solve for x
    x = 3,810,672.65/1,681.67
  6. Step 6: Final answer
    x = 2,266.00

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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.