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Finding the Fourth Proportional to 1,409.84, 2,111.09 and 972.44

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Solution

The fourth proportional to 1,409.84, 2,111.09 and 972.44 is: 1,456.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.84 : 2,111.09 = 972.44 : x
  2. Step 2: Convert to fraction form
    1,409.84/2,111.09 = 972.44/x
  3. Step 3: Cross multiply
    1,409.84x = 2,111.09 × 972.44
  4. Step 4: Simplify right side
    1,409.84x = 2,052,892.94
  5. Step 5: Solve for x
    x = 2,052,892.94/1,409.84
  6. Step 6: Final answer
    x = 1,456.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.