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Finding the Fourth Proportional to 2,078.84, 2,868.80 and 1,147.34

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Solution

The fourth proportional to 2,078.84, 2,868.80 and 1,147.34 is: 1,583.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.84 : 2,868.80 = 1,147.34 : x
  2. Step 2: Convert to fraction form
    2,078.84/2,868.80 = 1,147.34/x
  3. Step 3: Cross multiply
    2,078.84x = 2,868.80 × 1,147.34
  4. Step 4: Simplify right side
    2,078.84x = 3,291,468.91
  5. Step 5: Solve for x
    x = 3,291,468.91/2,078.84
  6. Step 6: Final answer
    x = 1,583.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.