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Finding the Fourth Proportional to 1,894.56, 2,853.04 and 1,653.92

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Solution

The fourth proportional to 1,894.56, 2,853.04 and 1,653.92 is: 2,490.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894.56 : 2,853.04 = 1,653.92 : x
  2. Step 2: Convert to fraction form
    1,894.56/2,853.04 = 1,653.92/x
  3. Step 3: Cross multiply
    1,894.56x = 2,853.04 × 1,653.92
  4. Step 4: Simplify right side
    1,894.56x = 4,718,699.92
  5. Step 5: Solve for x
    x = 4,718,699.92/1,894.56
  6. Step 6: Final answer
    x = 2,490.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.