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Finding the Fourth Proportional to 2,355.92, 3,533.12 and 1,058.32

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Solution

The fourth proportional to 2,355.92, 3,533.12 and 1,058.32 is: 1,587.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,355.92 : 3,533.12 = 1,058.32 : x
  2. Step 2: Convert to fraction form
    2,355.92/3,533.12 = 1,058.32/x
  3. Step 3: Cross multiply
    2,355.92x = 3,533.12 × 1,058.32
  4. Step 4: Simplify right side
    2,355.92x = 3,739,171.56
  5. Step 5: Solve for x
    x = 3,739,171.56/2,355.92
  6. Step 6: Final answer
    x = 1,587.14

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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.