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Finding the Fourth Proportional to 1,935.42, 2,903.62 and 548.76

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Solution

The fourth proportional to 1,935.42, 2,903.62 and 548.76 is: 823.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,935.42 : 2,903.62 = 548.76 : x
  2. Step 2: Convert to fraction form
    1,935.42/2,903.62 = 548.76/x
  3. Step 3: Cross multiply
    1,935.42x = 2,903.62 × 548.76
  4. Step 4: Simplify right side
    1,935.42x = 1,593,390.51
  5. Step 5: Solve for x
    x = 1,593,390.51/1,935.42
  6. Step 6: Final answer
    x = 823.28

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1.5x scale

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.