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Finding the Fourth Proportional to 2,116.07, 3,173.63 and 883.51

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Solution

The fourth proportional to 2,116.07, 3,173.63 and 883.51 is: 1,325.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.07 : 3,173.63 = 883.51 : x
  2. Step 2: Convert to fraction form
    2,116.07/3,173.63 = 883.51/x
  3. Step 3: Cross multiply
    2,116.07x = 3,173.63 × 883.51
  4. Step 4: Simplify right side
    2,116.07x = 2,803,926.46
  5. Step 5: Solve for x
    x = 2,803,926.46/2,116.07
  6. Step 6: Final answer
    x = 1,325.06

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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.