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Finding the Fourth Proportional to 2,916.48, 4,026.64 and 2,252.16

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Solution

The fourth proportional to 2,916.48, 4,026.64 and 2,252.16 is: 3,109.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,916.48 : 4,026.64 = 2,252.16 : x
  2. Step 2: Convert to fraction form
    2,916.48/4,026.64 = 2,252.16/x
  3. Step 3: Cross multiply
    2,916.48x = 4,026.64 × 2,252.16
  4. Step 4: Simplify right side
    2,916.48x = 9,068,637.54
  5. Step 5: Solve for x
    x = 9,068,637.54/2,916.48
  6. Step 6: Final answer
    x = 3,109.45

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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.