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Finding the Fourth Proportional to 1,987.94, 2,741.02 and 1,613.74

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Solution

The fourth proportional to 1,987.94, 2,741.02 and 1,613.74 is: 2,225.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.94 : 2,741.02 = 1,613.74 : x
  2. Step 2: Convert to fraction form
    1,987.94/2,741.02 = 1,613.74/x
  3. Step 3: Cross multiply
    1,987.94x = 2,741.02 × 1,613.74
  4. Step 4: Simplify right side
    1,987.94x = 4,423,293.61
  5. Step 5: Solve for x
    x = 4,423,293.61/1,987.94
  6. Step 6: Final answer
    x = 2,225.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.