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Finding the Fourth Proportional to 1,957.52, 2,701.48 and 1,161.12

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Solution

The fourth proportional to 1,957.52, 2,701.48 and 1,161.12 is: 1,602.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.52 : 2,701.48 = 1,161.12 : x
  2. Step 2: Convert to fraction form
    1,957.52/2,701.48 = 1,161.12/x
  3. Step 3: Cross multiply
    1,957.52x = 2,701.48 × 1,161.12
  4. Step 4: Simplify right side
    1,957.52x = 3,136,742.46
  5. Step 5: Solve for x
    x = 3,136,742.46/1,957.52
  6. Step 6: Final answer
    x = 1,602.41

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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.