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Finding the Fourth Proportional to 1,361.50, 1,878.90 and 740.50

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Solution

The fourth proportional to 1,361.50, 1,878.90 and 740.50 is: 1,021.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.50 : 1,878.90 = 740.50 : x
  2. Step 2: Convert to fraction form
    1,361.50/1,878.90 = 740.50/x
  3. Step 3: Cross multiply
    1,361.50x = 1,878.90 × 740.50
  4. Step 4: Simplify right side
    1,361.50x = 1,391,325.45
  5. Step 5: Solve for x
    x = 1,391,325.45/1,361.50
  6. Step 6: Final answer
    x = 1,021.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.