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Finding the Fourth Proportional to 2,859.66, 4,289.48 and 1,878.66

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Solution

The fourth proportional to 2,859.66, 4,289.48 and 1,878.66 is: 2,817.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.66 : 4,289.48 = 1,878.66 : x
  2. Step 2: Convert to fraction form
    2,859.66/4,289.48 = 1,878.66/x
  3. Step 3: Cross multiply
    2,859.66x = 4,289.48 × 1,878.66
  4. Step 4: Simplify right side
    2,859.66x = 8,058,465.10
  5. Step 5: Solve for x
    x = 8,058,465.10/2,859.66
  6. Step 6: Final answer
    x = 2,817.98

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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.