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Finding the Fourth Proportional to 3,412.74, 4,708.14 and 2,153.34

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Solution

The fourth proportional to 3,412.74, 4,708.14 and 2,153.34 is: 2,970.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.74 : 4,708.14 = 2,153.34 : x
  2. Step 2: Convert to fraction form
    3,412.74/4,708.14 = 2,153.34/x
  3. Step 3: Cross multiply
    3,412.74x = 4,708.14 × 2,153.34
  4. Step 4: Simplify right side
    3,412.74x = 10,138,226.19
  5. Step 5: Solve for x
    x = 10,138,226.19/3,412.74
  6. Step 6: Final answer
    x = 2,970.70

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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.