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Finding the Fourth Proportional to 2,637.66, 3,957.94 and 883.20

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Solution

The fourth proportional to 2,637.66, 3,957.94 and 883.20 is: 1,325.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,637.66 : 3,957.94 = 883.20 : x
  2. Step 2: Convert to fraction form
    2,637.66/3,957.94 = 883.20/x
  3. Step 3: Cross multiply
    2,637.66x = 3,957.94 × 883.20
  4. Step 4: Simplify right side
    2,637.66x = 3,495,666.07
  5. Step 5: Solve for x
    x = 3,495,666.07/2,637.66
  6. Step 6: Final answer
    x = 1,325.29

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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.