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Finding the Fourth Proportional to 2,148.54, 2,963.53 and 1,264.34

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Solution

The fourth proportional to 2,148.54, 2,963.53 and 1,264.34 is: 1,743.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.54 : 2,963.53 = 1,264.34 : x
  2. Step 2: Convert to fraction form
    2,148.54/2,963.53 = 1,264.34/x
  3. Step 3: Cross multiply
    2,148.54x = 2,963.53 × 1,264.34
  4. Step 4: Simplify right side
    2,148.54x = 3,746,888.38
  5. Step 5: Solve for x
    x = 3,746,888.38/2,148.54
  6. Step 6: Final answer
    x = 1,743.93

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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.