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Finding the Fourth Proportional to 4,600.71, 6,901.03 and 1,313.80

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Solution

The fourth proportional to 4,600.71, 6,901.03 and 1,313.80 is: 1,970.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.71 : 6,901.03 = 1,313.80 : x
  2. Step 2: Convert to fraction form
    4,600.71/6,901.03 = 1,313.80/x
  3. Step 3: Cross multiply
    4,600.71x = 6,901.03 × 1,313.80
  4. Step 4: Simplify right side
    4,600.71x = 9,066,573.21
  5. Step 5: Solve for x
    x = 9,066,573.21/4,600.71
  6. Step 6: Final answer
    x = 1,970.69

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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.