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Finding the Fourth Proportional to 2,107.77, 2,909.55 and 1,886.34

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Solution

The fourth proportional to 2,107.77, 2,909.55 and 1,886.34 is: 2,603.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.77 : 2,909.55 = 1,886.34 : x
  2. Step 2: Convert to fraction form
    2,107.77/2,909.55 = 1,886.34/x
  3. Step 3: Cross multiply
    2,107.77x = 2,909.55 × 1,886.34
  4. Step 4: Simplify right side
    2,107.77x = 5,488,386.25
  5. Step 5: Solve for x
    x = 5,488,386.25/2,107.77
  6. Step 6: Final answer
    x = 2,603.88

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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.