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Finding the Fourth Proportional to 2,605.12, 3,888.76 and 2,242.24

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Solution

The fourth proportional to 2,605.12, 3,888.76 and 2,242.24 is: 3,347.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.12 : 3,888.76 = 2,242.24 : x
  2. Step 2: Convert to fraction form
    2,605.12/3,888.76 = 2,242.24/x
  3. Step 3: Cross multiply
    2,605.12x = 3,888.76 × 2,242.24
  4. Step 4: Simplify right side
    2,605.12x = 8,719,533.22
  5. Step 5: Solve for x
    x = 8,719,533.22/2,605.12
  6. Step 6: Final answer
    x = 3,347.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.