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Finding the Fourth Proportional to 2,355.36, 3,530.88 and 1,056.12

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Solution

The fourth proportional to 2,355.36, 3,530.88 and 1,056.12 is: 1,583.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,355.36 : 3,530.88 = 1,056.12 : x
  2. Step 2: Convert to fraction form
    2,355.36/3,530.88 = 1,056.12/x
  3. Step 3: Cross multiply
    2,355.36x = 3,530.88 × 1,056.12
  4. Step 4: Simplify right side
    2,355.36x = 3,729,032.99
  5. Step 5: Solve for x
    x = 3,729,032.99/2,355.36
  6. Step 6: Final answer
    x = 1,583.21

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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.