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Finding the Fourth Proportional to 1,955.84, 2,934.98 and 1,807.08

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Solution

The fourth proportional to 1,955.84, 2,934.98 and 1,807.08 is: 2,711.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,955.84 : 2,934.98 = 1,807.08 : x
  2. Step 2: Convert to fraction form
    1,955.84/2,934.98 = 1,807.08/x
  3. Step 3: Cross multiply
    1,955.84x = 2,934.98 × 1,807.08
  4. Step 4: Simplify right side
    1,955.84x = 5,303,743.66
  5. Step 5: Solve for x
    x = 5,303,743.66/1,955.84
  6. Step 6: Final answer
    x = 2,711.75

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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.