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Finding the Fourth Proportional to 2,357.38, 3,533.16 and 1,056.16

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Solution

The fourth proportional to 2,357.38, 3,533.16 and 1,056.16 is: 1,582.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.38 : 3,533.16 = 1,056.16 : x
  2. Step 2: Convert to fraction form
    2,357.38/3,533.16 = 1,056.16/x
  3. Step 3: Cross multiply
    2,357.38x = 3,533.16 × 1,056.16
  4. Step 4: Simplify right side
    2,357.38x = 3,731,582.27
  5. Step 5: Solve for x
    x = 3,731,582.27/2,357.38
  6. Step 6: Final answer
    x = 1,582.94

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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.