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Finding the Fourth Proportional to 1,695.71, 2,337.99 and 1,340.93

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Solution

The fourth proportional to 1,695.71, 2,337.99 and 1,340.93 is: 1,848.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.71 : 2,337.99 = 1,340.93 : x
  2. Step 2: Convert to fraction form
    1,695.71/2,337.99 = 1,340.93/x
  3. Step 3: Cross multiply
    1,695.71x = 2,337.99 × 1,340.93
  4. Step 4: Simplify right side
    1,695.71x = 3,135,080.93
  5. Step 5: Solve for x
    x = 3,135,080.93/1,695.71
  6. Step 6: Final answer
    x = 1,848.83

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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.