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Finding the Fourth Proportional to 2,878.75, 4,315.56 and 1,644.40

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Solution

The fourth proportional to 2,878.75, 4,315.56 and 1,644.40 is: 2,465.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.75 : 4,315.56 = 1,644.40 : x
  2. Step 2: Convert to fraction form
    2,878.75/4,315.56 = 1,644.40/x
  3. Step 3: Cross multiply
    2,878.75x = 4,315.56 × 1,644.40
  4. Step 4: Simplify right side
    2,878.75x = 7,096,506.86
  5. Step 5: Solve for x
    x = 7,096,506.86/2,878.75
  6. Step 6: Final answer
    x = 2,465.13

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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.