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Finding the Fourth Proportional to 2,294.06, 3,442.50 and 907.16

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Solution

The fourth proportional to 2,294.06, 3,442.50 and 907.16 is: 1,361.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.06 : 3,442.50 = 907.16 : x
  2. Step 2: Convert to fraction form
    2,294.06/3,442.50 = 907.16/x
  3. Step 3: Cross multiply
    2,294.06x = 3,442.50 × 907.16
  4. Step 4: Simplify right side
    2,294.06x = 3,122,881.09
  5. Step 5: Solve for x
    x = 3,122,881.09/2,294.06
  6. Step 6: Final answer
    x = 1,361.29

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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.