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Finding the Fourth Proportional to 1,800.06, 2,701.14 and 978.42

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Solution

The fourth proportional to 1,800.06, 2,701.14 and 978.42 is: 1,468.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,800.06 : 2,701.14 = 978.42 : x
  2. Step 2: Convert to fraction form
    1,800.06/2,701.14 = 978.42/x
  3. Step 3: Cross multiply
    1,800.06x = 2,701.14 × 978.42
  4. Step 4: Simplify right side
    1,800.06x = 2,642,849.40
  5. Step 5: Solve for x
    x = 2,642,849.40/1,800.06
  6. Step 6: Final answer
    x = 1,468.20

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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.