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Finding the Fourth Proportional to 1,653.89, 2,283.05 and 1,024.38

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Solution

The fourth proportional to 1,653.89, 2,283.05 and 1,024.38 is: 1,414.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.89 : 2,283.05 = 1,024.38 : x
  2. Step 2: Convert to fraction form
    1,653.89/2,283.05 = 1,024.38/x
  3. Step 3: Cross multiply
    1,653.89x = 2,283.05 × 1,024.38
  4. Step 4: Simplify right side
    1,653.89x = 2,338,713.32
  5. Step 5: Solve for x
    x = 2,338,713.32/1,653.89
  6. Step 6: Final answer
    x = 1,414.07

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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.