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Finding the Fourth Proportional to 1,952.84, 2,930.48 and 1,804.08

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Solution

The fourth proportional to 1,952.84, 2,930.48 and 1,804.08 is: 2,707.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.84 : 2,930.48 = 1,804.08 : x
  2. Step 2: Convert to fraction form
    1,952.84/2,930.48 = 1,804.08/x
  3. Step 3: Cross multiply
    1,952.84x = 2,930.48 × 1,804.08
  4. Step 4: Simplify right side
    1,952.84x = 5,286,820.36
  5. Step 5: Solve for x
    x = 5,286,820.36/1,952.84
  6. Step 6: Final answer
    x = 2,707.25

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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.