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Finding the Fourth Proportional to 2,086.52, 2,880.54 and 1,424.36

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Solution

The fourth proportional to 2,086.52, 2,880.54 and 1,424.36 is: 1,966.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.52 : 2,880.54 = 1,424.36 : x
  2. Step 2: Convert to fraction form
    2,086.52/2,880.54 = 1,424.36/x
  3. Step 3: Cross multiply
    2,086.52x = 2,880.54 × 1,424.36
  4. Step 4: Simplify right side
    2,086.52x = 4,102,925.95
  5. Step 5: Solve for x
    x = 4,102,925.95/2,086.52
  6. Step 6: Final answer
    x = 1,966.40

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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.