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Finding the Fourth Proportional to 1,952.66, 2,695.65 and 1,509.56

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Solution

The fourth proportional to 1,952.66, 2,695.65 and 1,509.56 is: 2,083.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.66 : 2,695.65 = 1,509.56 : x
  2. Step 2: Convert to fraction form
    1,952.66/2,695.65 = 1,509.56/x
  3. Step 3: Cross multiply
    1,952.66x = 2,695.65 × 1,509.56
  4. Step 4: Simplify right side
    1,952.66x = 4,069,245.41
  5. Step 5: Solve for x
    x = 4,069,245.41/1,952.66
  6. Step 6: Final answer
    x = 2,083.95

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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.