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Finding the Fourth Proportional to 2,087.98, 3,132.03 and 549.02

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Solution

The fourth proportional to 2,087.98, 3,132.03 and 549.02 is: 823.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.98 : 3,132.03 = 549.02 : x
  2. Step 2: Convert to fraction form
    2,087.98/3,132.03 = 549.02/x
  3. Step 3: Cross multiply
    2,087.98x = 3,132.03 × 549.02
  4. Step 4: Simplify right side
    2,087.98x = 1,719,547.11
  5. Step 5: Solve for x
    x = 1,719,547.11/2,087.98
  6. Step 6: Final answer
    x = 823.55

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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.