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Finding the Fourth Proportional to 2,356.64, 3,532.32 and 1,123.04

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Solution

The fourth proportional to 2,356.64, 3,532.32 and 1,123.04 is: 1,683.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.64 : 3,532.32 = 1,123.04 : x
  2. Step 2: Convert to fraction form
    2,356.64/3,532.32 = 1,123.04/x
  3. Step 3: Cross multiply
    2,356.64x = 3,532.32 × 1,123.04
  4. Step 4: Simplify right side
    2,356.64x = 3,966,936.65
  5. Step 5: Solve for x
    x = 3,966,936.65/2,356.64
  6. Step 6: Final answer
    x = 1,683.30

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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.