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Finding the Fourth Proportional to 3,301.16, 4,947 and 1,985.45

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Solution

The fourth proportional to 3,301.16, 4,947 and 1,985.45 is: 2,975.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,301.16 : 4,947 = 1,985.45 : x
  2. Step 2: Convert to fraction form
    3,301.16/4,947 = 1,985.45/x
  3. Step 3: Cross multiply
    3,301.16x = 4,947 × 1,985.45
  4. Step 4: Simplify right side
    3,301.16x = 9,822,021.15
  5. Step 5: Solve for x
    x = 9,822,021.15/3,301.16
  6. Step 6: Final answer
    x = 2,975.32

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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.