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Finding the Fourth Proportional to 1,473.45, 2,032.49 and 942.45

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Solution

The fourth proportional to 1,473.45, 2,032.49 and 942.45 is: 1,300.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473.45 : 2,032.49 = 942.45 : x
  2. Step 2: Convert to fraction form
    1,473.45/2,032.49 = 942.45/x
  3. Step 3: Cross multiply
    1,473.45x = 2,032.49 × 942.45
  4. Step 4: Simplify right side
    1,473.45x = 1,915,515.49
  5. Step 5: Solve for x
    x = 1,915,515.49/1,473.45
  6. Step 6: Final answer
    x = 1,300.02

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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.