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Finding the Fourth Proportional to 2,415.54, 3,618.24 and 1,537.59

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Solution

The fourth proportional to 2,415.54, 3,618.24 and 1,537.59 is: 2,303.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415.54 : 3,618.24 = 1,537.59 : x
  2. Step 2: Convert to fraction form
    2,415.54/3,618.24 = 1,537.59/x
  3. Step 3: Cross multiply
    2,415.54x = 3,618.24 × 1,537.59
  4. Step 4: Simplify right side
    2,415.54x = 5,563,369.64
  5. Step 5: Solve for x
    x = 5,563,369.64/2,415.54
  6. Step 6: Final answer
    x = 2,303.16

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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.