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Finding the Fourth Proportional to 1,833.76, 2,530.51 and 994.45

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Solution

The fourth proportional to 1,833.76, 2,530.51 and 994.45 is: 1,372.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833.76 : 2,530.51 = 994.45 : x
  2. Step 2: Convert to fraction form
    1,833.76/2,530.51 = 994.45/x
  3. Step 3: Cross multiply
    1,833.76x = 2,530.51 × 994.45
  4. Step 4: Simplify right side
    1,833.76x = 2,516,457.06
  5. Step 5: Solve for x
    x = 2,516,457.06/1,833.76
  6. Step 6: Final answer
    x = 1,372.30

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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.