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Finding the Fourth Proportional to 3,164.40, 4,746.53 and 1,313.48

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Solution

The fourth proportional to 3,164.40, 4,746.53 and 1,313.48 is: 1,970.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.40 : 4,746.53 = 1,313.48 : x
  2. Step 2: Convert to fraction form
    3,164.40/4,746.53 = 1,313.48/x
  3. Step 3: Cross multiply
    3,164.40x = 4,746.53 × 1,313.48
  4. Step 4: Simplify right side
    3,164.40x = 6,234,487.37
  5. Step 5: Solve for x
    x = 6,234,487.37/3,164.40
  6. Step 6: Final answer
    x = 1,970.20

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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.