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Finding the Fourth Proportional to 4,681.65, 7,022.49 and 1,218.90

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Solution

The fourth proportional to 4,681.65, 7,022.49 and 1,218.90 is: 1,828.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,681.65 : 7,022.49 = 1,218.90 : x
  2. Step 2: Convert to fraction form
    4,681.65/7,022.49 = 1,218.90/x
  3. Step 3: Cross multiply
    4,681.65x = 7,022.49 × 1,218.90
  4. Step 4: Simplify right side
    4,681.65x = 8,559,713.06
  5. Step 5: Solve for x
    x = 8,559,713.06/4,681.65
  6. Step 6: Final answer
    x = 1,828.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.