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Finding the Fourth Proportional to 2,878.93, 4,315.15 and 1,419.11

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Solution

The fourth proportional to 2,878.93, 4,315.15 and 1,419.11 is: 2,127.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.93 : 4,315.15 = 1,419.11 : x
  2. Step 2: Convert to fraction form
    2,878.93/4,315.15 = 1,419.11/x
  3. Step 3: Cross multiply
    2,878.93x = 4,315.15 × 1,419.11
  4. Step 4: Simplify right side
    2,878.93x = 6,123,672.52
  5. Step 5: Solve for x
    x = 6,123,672.52/2,878.93
  6. Step 6: Final answer
    x = 2,127.07

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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.