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Finding the Fourth Proportional to 2,357.37, 3,533.31 and 1,056.11

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Solution

The fourth proportional to 2,357.37, 3,533.31 and 1,056.11 is: 1,582.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.37 : 3,533.31 = 1,056.11 : x
  2. Step 2: Convert to fraction form
    2,357.37/3,533.31 = 1,056.11/x
  3. Step 3: Cross multiply
    2,357.37x = 3,533.31 × 1,056.11
  4. Step 4: Simplify right side
    2,357.37x = 3,731,546.36
  5. Step 5: Solve for x
    x = 3,731,546.36/2,357.37
  6. Step 6: Final answer
    x = 1,582.93

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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.