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Finding the Fourth Proportional to 1,551.12, 2,140.68 and 887.84

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Solution

The fourth proportional to 1,551.12, 2,140.68 and 887.84 is: 1,225.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,551.12 : 2,140.68 = 887.84 : x
  2. Step 2: Convert to fraction form
    1,551.12/2,140.68 = 887.84/x
  3. Step 3: Cross multiply
    1,551.12x = 2,140.68 × 887.84
  4. Step 4: Simplify right side
    1,551.12x = 1,900,570.63
  5. Step 5: Solve for x
    x = 1,900,570.63/1,551.12
  6. Step 6: Final answer
    x = 1,225.29

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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.