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Finding the Fourth Proportional to 2,368.69, 3,553.14 and 907.74

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Solution

The fourth proportional to 2,368.69, 3,553.14 and 907.74 is: 1,361.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.69 : 3,553.14 = 907.74 : x
  2. Step 2: Convert to fraction form
    2,368.69/3,553.14 = 907.74/x
  3. Step 3: Cross multiply
    2,368.69x = 3,553.14 × 907.74
  4. Step 4: Simplify right side
    2,368.69x = 3,225,327.30
  5. Step 5: Solve for x
    x = 3,225,327.30/2,368.69
  6. Step 6: Final answer
    x = 1,361.65

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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.