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Finding the Fourth Proportional to 3,064.53, 4,594.95 and 2,078.55

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Solution

The fourth proportional to 3,064.53, 4,594.95 and 2,078.55 is: 3,116.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,064.53 : 4,594.95 = 2,078.55 : x
  2. Step 2: Convert to fraction form
    3,064.53/4,594.95 = 2,078.55/x
  3. Step 3: Cross multiply
    3,064.53x = 4,594.95 × 2,078.55
  4. Step 4: Simplify right side
    3,064.53x = 9,550,833.32
  5. Step 5: Solve for x
    x = 9,550,833.32/3,064.53
  6. Step 6: Final answer
    x = 3,116.57

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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.