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Finding the Fourth Proportional to 2,298.92, 3,445.64 and 1,323

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Solution

The fourth proportional to 2,298.92, 3,445.64 and 1,323 is: 1,982.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.92 : 3,445.64 = 1,323 : x
  2. Step 2: Convert to fraction form
    2,298.92/3,445.64 = 1,323/x
  3. Step 3: Cross multiply
    2,298.92x = 3,445.64 × 1,323
  4. Step 4: Simplify right side
    2,298.92x = 4,558,581.72
  5. Step 5: Solve for x
    x = 4,558,581.72/2,298.92
  6. Step 6: Final answer
    x = 1,982.92

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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.