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Finding the Fourth Proportional to 1,528.25, 2,292.42 and 374

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Solution

The fourth proportional to 1,528.25, 2,292.42 and 374 is: 561.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.25 : 2,292.42 = 374 : x
  2. Step 2: Convert to fraction form
    1,528.25/2,292.42 = 374/x
  3. Step 3: Cross multiply
    1,528.25x = 2,292.42 × 374
  4. Step 4: Simplify right side
    1,528.25x = 857,365.08
  5. Step 5: Solve for x
    x = 857,365.08/1,528.25
  6. Step 6: Final answer
    x = 561.01

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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.