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Finding the Fourth Proportional to 1,957.52, 2,935.56 and 1,136

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Solution

The fourth proportional to 1,957.52, 2,935.56 and 1,136 is: 1,703.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.52 : 2,935.56 = 1,136 : x
  2. Step 2: Convert to fraction form
    1,957.52/2,935.56 = 1,136/x
  3. Step 3: Cross multiply
    1,957.52x = 2,935.56 × 1,136
  4. Step 4: Simplify right side
    1,957.52x = 3,334,796.16
  5. Step 5: Solve for x
    x = 3,334,796.16/1,957.52
  6. Step 6: Final answer
    x = 1,703.58

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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.