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Finding the Fourth Proportional to 2,952.91, 4,075.13 and 1,693.94

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Solution

The fourth proportional to 2,952.91, 4,075.13 and 1,693.94 is: 2,337.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.91 : 4,075.13 = 1,693.94 : x
  2. Step 2: Convert to fraction form
    2,952.91/4,075.13 = 1,693.94/x
  3. Step 3: Cross multiply
    2,952.91x = 4,075.13 × 1,693.94
  4. Step 4: Simplify right side
    2,952.91x = 6,903,017.24
  5. Step 5: Solve for x
    x = 6,903,017.24/2,952.91
  6. Step 6: Final answer
    x = 2,337.70

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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.