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Finding the Fourth Proportional to 1,798.95, 2,480.49 and 1,160.04

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Solution

The fourth proportional to 1,798.95, 2,480.49 and 1,160.04 is: 1,599.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798.95 : 2,480.49 = 1,160.04 : x
  2. Step 2: Convert to fraction form
    1,798.95/2,480.49 = 1,160.04/x
  3. Step 3: Cross multiply
    1,798.95x = 2,480.49 × 1,160.04
  4. Step 4: Simplify right side
    1,798.95x = 2,877,467.62
  5. Step 5: Solve for x
    x = 2,877,467.62/1,798.95
  6. Step 6: Final answer
    x = 1,599.53

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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.