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Finding the Fourth Proportional to 3,179.36, 4,769.67 and 987.99

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Solution

The fourth proportional to 3,179.36, 4,769.67 and 987.99 is: 1,482.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,179.36 : 4,769.67 = 987.99 : x
  2. Step 2: Convert to fraction form
    3,179.36/4,769.67 = 987.99/x
  3. Step 3: Cross multiply
    3,179.36x = 4,769.67 × 987.99
  4. Step 4: Simplify right side
    3,179.36x = 4,712,386.26
  5. Step 5: Solve for x
    x = 4,712,386.26/3,179.36
  6. Step 6: Final answer
    x = 1,482.18

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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.