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Finding the Fourth Proportional to 2,153.09, 2,970.72 and 1,313.74

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Solution

The fourth proportional to 2,153.09, 2,970.72 and 1,313.74 is: 1,812.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.09 : 2,970.72 = 1,313.74 : x
  2. Step 2: Convert to fraction form
    2,153.09/2,970.72 = 1,313.74/x
  3. Step 3: Cross multiply
    2,153.09x = 2,970.72 × 1,313.74
  4. Step 4: Simplify right side
    2,153.09x = 3,902,757.41
  5. Step 5: Solve for x
    x = 3,902,757.41/2,153.09
  6. Step 6: Final answer
    x = 1,812.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.