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Finding the Fourth Proportional to 1,842.84, 2,764.10 and 975.32

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Solution

The fourth proportional to 1,842.84, 2,764.10 and 975.32 is: 1,462.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.84 : 2,764.10 = 975.32 : x
  2. Step 2: Convert to fraction form
    1,842.84/2,764.10 = 975.32/x
  3. Step 3: Cross multiply
    1,842.84x = 2,764.10 × 975.32
  4. Step 4: Simplify right side
    1,842.84x = 2,695,882.01
  5. Step 5: Solve for x
    x = 2,695,882.01/1,842.84
  6. Step 6: Final answer
    x = 1,462.90

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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.