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Finding the Fourth Proportional to 1,902.29, 2,849.48 and 975.04

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Solution

The fourth proportional to 1,902.29, 2,849.48 and 975.04 is: 1,460.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.29 : 2,849.48 = 975.04 : x
  2. Step 2: Convert to fraction form
    1,902.29/2,849.48 = 975.04/x
  3. Step 3: Cross multiply
    1,902.29x = 2,849.48 × 975.04
  4. Step 4: Simplify right side
    1,902.29x = 2,778,356.98
  5. Step 5: Solve for x
    x = 2,778,356.98/1,902.29
  6. Step 6: Final answer
    x = 1,460.53

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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.