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Finding the Fourth Proportional to 1,427.88, 1,971.36 and 904.80

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Solution

The fourth proportional to 1,427.88, 1,971.36 and 904.80 is: 1,249.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.88 : 1,971.36 = 904.80 : x
  2. Step 2: Convert to fraction form
    1,427.88/1,971.36 = 904.80/x
  3. Step 3: Cross multiply
    1,427.88x = 1,971.36 × 904.80
  4. Step 4: Simplify right side
    1,427.88x = 1,783,686.53
  5. Step 5: Solve for x
    x = 1,783,686.53/1,427.88
  6. Step 6: Final answer
    x = 1,249.19

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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.