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Finding the Fourth Proportional to 2,047.84, 2,825.93 and 1,252.50

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Solution

The fourth proportional to 2,047.84, 2,825.93 and 1,252.50 is: 1,728.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.84 : 2,825.93 = 1,252.50 : x
  2. Step 2: Convert to fraction form
    2,047.84/2,825.93 = 1,252.50/x
  3. Step 3: Cross multiply
    2,047.84x = 2,825.93 × 1,252.50
  4. Step 4: Simplify right side
    2,047.84x = 3,539,462.37
  5. Step 5: Solve for x
    x = 3,539,462.37/2,047.84
  6. Step 6: Final answer
    x = 1,728.39

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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.