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Finding the Fourth Proportional to 1,902.47, 2,852.96 and 585.81

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Solution

The fourth proportional to 1,902.47, 2,852.96 and 585.81 is: 878.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.47 : 2,852.96 = 585.81 : x
  2. Step 2: Convert to fraction form
    1,902.47/2,852.96 = 585.81/x
  3. Step 3: Cross multiply
    1,902.47x = 2,852.96 × 585.81
  4. Step 4: Simplify right side
    1,902.47x = 1,671,289.57
  5. Step 5: Solve for x
    x = 1,671,289.57/1,902.47
  6. Step 6: Final answer
    x = 878.49

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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.