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Finding the Fourth Proportional to 2,368.76, 3,551.60 and 907.92

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Solution

The fourth proportional to 2,368.76, 3,551.60 and 907.92 is: 1,361.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.76 : 3,551.60 = 907.92 : x
  2. Step 2: Convert to fraction form
    2,368.76/3,551.60 = 907.92/x
  3. Step 3: Cross multiply
    2,368.76x = 3,551.60 × 907.92
  4. Step 4: Simplify right side
    2,368.76x = 3,224,564.13
  5. Step 5: Solve for x
    x = 3,224,564.13/2,368.76
  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.