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Finding the Fourth Proportional to 2,032.48, 2,803.34 and 1,323

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Solution

The fourth proportional to 2,032.48, 2,803.34 and 1,323 is: 1,824.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.48 : 2,803.34 = 1,323 : x
  2. Step 2: Convert to fraction form
    2,032.48/2,803.34 = 1,323/x
  3. Step 3: Cross multiply
    2,032.48x = 2,803.34 × 1,323
  4. Step 4: Simplify right side
    2,032.48x = 3,708,818.82
  5. Step 5: Solve for x
    x = 3,708,818.82/2,032.48
  6. Step 6: Final answer
    x = 1,824.78

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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.