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Finding the Fourth Proportional to 1,476.98, 2,038.24 and 887.56

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Solution

The fourth proportional to 1,476.98, 2,038.24 and 887.56 is: 1,224.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.98 : 2,038.24 = 887.56 : x
  2. Step 2: Convert to fraction form
    1,476.98/2,038.24 = 887.56/x
  3. Step 3: Cross multiply
    1,476.98x = 2,038.24 × 887.56
  4. Step 4: Simplify right side
    1,476.98x = 1,809,053.81
  5. Step 5: Solve for x
    x = 1,809,053.81/1,476.98
  6. Step 6: Final answer
    x = 1,224.83

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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.