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Finding the Fourth Proportional to 2,357.76, 3,533.28 and 1,204.32

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Solution

The fourth proportional to 2,357.76, 3,533.28 and 1,204.32 is: 1,804.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.76 : 3,533.28 = 1,204.32 : x
  2. Step 2: Convert to fraction form
    2,357.76/3,533.28 = 1,204.32/x
  3. Step 3: Cross multiply
    2,357.76x = 3,533.28 × 1,204.32
  4. Step 4: Simplify right side
    2,357.76x = 4,255,199.77
  5. Step 5: Solve for x
    x = 4,255,199.77/2,357.76
  6. Step 6: Final answer
    x = 1,804.76

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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.