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Finding the Fourth Proportional to 1,968.52, 2,715.81 and 1,128.93

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Solution

The fourth proportional to 1,968.52, 2,715.81 and 1,128.93 is: 1,557.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.52 : 2,715.81 = 1,128.93 : x
  2. Step 2: Convert to fraction form
    1,968.52/2,715.81 = 1,128.93/x
  3. Step 3: Cross multiply
    1,968.52x = 2,715.81 × 1,128.93
  4. Step 4: Simplify right side
    1,968.52x = 3,065,959.38
  5. Step 5: Solve for x
    x = 3,065,959.38/1,968.52
  6. Step 6: Final answer
    x = 1,557.49

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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.