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Finding the Fourth Proportional to 2,538.24, 3,501.44 and 1,916.16

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Solution

The fourth proportional to 2,538.24, 3,501.44 and 1,916.16 is: 2,643.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.24 : 3,501.44 = 1,916.16 : x
  2. Step 2: Convert to fraction form
    2,538.24/3,501.44 = 1,916.16/x
  3. Step 3: Cross multiply
    2,538.24x = 3,501.44 × 1,916.16
  4. Step 4: Simplify right side
    2,538.24x = 6,709,319.27
  5. Step 5: Solve for x
    x = 6,709,319.27/2,538.24
  6. Step 6: Final answer
    x = 2,643.30

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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.