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Finding the Fourth Proportional to 2,888.48, 4,332.56 and 1,427.12

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Solution

The fourth proportional to 2,888.48, 4,332.56 and 1,427.12 is: 2,140.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,888.48 : 4,332.56 = 1,427.12 : x
  2. Step 2: Convert to fraction form
    2,888.48/4,332.56 = 1,427.12/x
  3. Step 3: Cross multiply
    2,888.48x = 4,332.56 × 1,427.12
  4. Step 4: Simplify right side
    2,888.48x = 6,183,083.03
  5. Step 5: Solve for x
    x = 6,183,083.03/2,888.48
  6. Step 6: Final answer
    x = 2,140.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.