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Finding the Fourth Proportional to 2,740.84, 4,108.80 and 1,009.12

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Solution

The fourth proportional to 2,740.84, 4,108.80 and 1,009.12 is: 1,512.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.84 : 4,108.80 = 1,009.12 : x
  2. Step 2: Convert to fraction form
    2,740.84/4,108.80 = 1,009.12/x
  3. Step 3: Cross multiply
    2,740.84x = 4,108.80 × 1,009.12
  4. Step 4: Simplify right side
    2,740.84x = 4,146,272.26
  5. Step 5: Solve for x
    x = 4,146,272.26/2,740.84
  6. Step 6: Final answer
    x = 1,512.77

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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.