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Finding the Fourth Proportional to 1,412.52, 2,117.97 and 978.36

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Solution

The fourth proportional to 1,412.52, 2,117.97 and 978.36 is: 1,466.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.52 : 2,117.97 = 978.36 : x
  2. Step 2: Convert to fraction form
    1,412.52/2,117.97 = 978.36/x
  3. Step 3: Cross multiply
    1,412.52x = 2,117.97 × 978.36
  4. Step 4: Simplify right side
    1,412.52x = 2,072,137.13
  5. Step 5: Solve for x
    x = 2,072,137.13/1,412.52
  6. Step 6: Final answer
    x = 1,466.98

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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.