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Finding the Fourth Proportional to 1,828.16, 2,741.86 and 657.98

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Solution

The fourth proportional to 1,828.16, 2,741.86 and 657.98 is: 986.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.16 : 2,741.86 = 657.98 : x
  2. Step 2: Convert to fraction form
    1,828.16/2,741.86 = 657.98/x
  3. Step 3: Cross multiply
    1,828.16x = 2,741.86 × 657.98
  4. Step 4: Simplify right side
    1,828.16x = 1,804,089.04
  5. Step 5: Solve for x
    x = 1,804,089.04/1,828.16
  6. Step 6: Final answer
    x = 986.83

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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.