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Finding the Fourth Proportional to 2,695.12, 3,713.80 and 2,065.64

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Solution

The fourth proportional to 2,695.12, 3,713.80 and 2,065.64 is: 2,846.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,695.12 : 3,713.80 = 2,065.64 : x
  2. Step 2: Convert to fraction form
    2,695.12/3,713.80 = 2,065.64/x
  3. Step 3: Cross multiply
    2,695.12x = 3,713.80 × 2,065.64
  4. Step 4: Simplify right side
    2,695.12x = 7,671,373.83
  5. Step 5: Solve for x
    x = 7,671,373.83/2,695.12
  6. Step 6: Final answer
    x = 2,846.39

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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.