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Finding the Fourth Proportional to 1,987.17, 2,978.70 and 946.41

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Solution

The fourth proportional to 1,987.17, 2,978.70 and 946.41 is: 1,418.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.17 : 2,978.70 = 946.41 : x
  2. Step 2: Convert to fraction form
    1,987.17/2,978.70 = 946.41/x
  3. Step 3: Cross multiply
    1,987.17x = 2,978.70 × 946.41
  4. Step 4: Simplify right side
    1,987.17x = 2,819,071.47
  5. Step 5: Solve for x
    x = 2,819,071.47/1,987.17
  6. Step 6: Final answer
    x = 1,418.64

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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.