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Finding the Fourth Proportional to 2,612.84, 3,920.81 and 1,053.59

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Solution

The fourth proportional to 2,612.84, 3,920.81 and 1,053.59 is: 1,581.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,612.84 : 3,920.81 = 1,053.59 : x
  2. Step 2: Convert to fraction form
    2,612.84/3,920.81 = 1,053.59/x
  3. Step 3: Cross multiply
    2,612.84x = 3,920.81 × 1,053.59
  4. Step 4: Simplify right side
    2,612.84x = 4,130,926.21
  5. Step 5: Solve for x
    x = 4,130,926.21/2,612.84
  6. Step 6: Final answer
    x = 1,581.01

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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.