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Finding the Fourth Proportional to 2,713.64, 4,069.98 and 1,070.65

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Solution

The fourth proportional to 2,713.64, 4,069.98 and 1,070.65 is: 1,605.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.64 : 4,069.98 = 1,070.65 : x
  2. Step 2: Convert to fraction form
    2,713.64/4,069.98 = 1,070.65/x
  3. Step 3: Cross multiply
    2,713.64x = 4,069.98 × 1,070.65
  4. Step 4: Simplify right side
    2,713.64x = 4,357,529.17
  5. Step 5: Solve for x
    x = 4,357,529.17/2,713.64
  6. Step 6: Final answer
    x = 1,605.79

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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.