Home / 1,987.08-2,984.00-1,657.68

Finding the Fourth Proportional to 1,987.08, 2,984.00 and 1,657.68

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Solution

The fourth proportional to 1,987.08, 2,984.00 and 1,657.68 is: 2,489.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.08 : 2,984.00 = 1,657.68 : x
  2. Step 2: Convert to fraction form
    1,987.08/2,984.00 = 1,657.68/x
  3. Step 3: Cross multiply
    1,987.08x = 2,984.00 × 1,657.68
  4. Step 4: Simplify right side
    1,987.08x = 4,946,508.83
  5. Step 5: Solve for x
    x = 4,946,508.83/1,987.08
  6. Step 6: Final answer
    x = 2,489.34

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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.