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Finding the Fourth Proportional to 2,663.52, 3,671.64 and 1,916.16

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Solution

The fourth proportional to 2,663.52, 3,671.64 and 1,916.16 is: 2,641.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.52 : 3,671.64 = 1,916.16 : x
  2. Step 2: Convert to fraction form
    2,663.52/3,671.64 = 1,916.16/x
  3. Step 3: Cross multiply
    2,663.52x = 3,671.64 × 1,916.16
  4. Step 4: Simplify right side
    2,663.52x = 7,035,449.70
  5. Step 5: Solve for x
    x = 7,035,449.70/2,663.52
  6. Step 6: Final answer
    x = 2,641.41

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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.