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Finding the Fourth Proportional to 2,562, 3,534 and 1,514.40

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Solution

The fourth proportional to 2,562, 3,534 and 1,514.40 is: 2,088.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562 : 3,534 = 1,514.40 : x
  2. Step 2: Convert to fraction form
    2,562/3,534 = 1,514.40/x
  3. Step 3: Cross multiply
    2,562x = 3,534 × 1,514.40
  4. Step 4: Simplify right side
    2,562x = 5,351,889.60
  5. Step 5: Solve for x
    x = 5,351,889.60/2,562
  6. Step 6: Final answer
    x = 2,088.95

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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.