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Finding the Fourth Proportional to 1,357.54, 2,024.38 and 1,282.51

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Solution

The fourth proportional to 1,357.54, 2,024.38 and 1,282.51 is: 1,912.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.54 : 2,024.38 = 1,282.51 : x
  2. Step 2: Convert to fraction form
    1,357.54/2,024.38 = 1,282.51/x
  3. Step 3: Cross multiply
    1,357.54x = 2,024.38 × 1,282.51
  4. Step 4: Simplify right side
    1,357.54x = 2,596,277.47
  5. Step 5: Solve for x
    x = 2,596,277.47/1,357.54
  6. Step 6: Final answer
    x = 1,912.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.