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Finding the Fourth Proportional to 2,913.84, 4,371.84 and 1,354.68

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Solution

The fourth proportional to 2,913.84, 4,371.84 and 1,354.68 is: 2,032.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,913.84 : 4,371.84 = 1,354.68 : x
  2. Step 2: Convert to fraction form
    2,913.84/4,371.84 = 1,354.68/x
  3. Step 3: Cross multiply
    2,913.84x = 4,371.84 × 1,354.68
  4. Step 4: Simplify right side
    2,913.84x = 5,922,444.21
  5. Step 5: Solve for x
    x = 5,922,444.21/2,913.84
  6. Step 6: Final answer
    x = 2,032.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.