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Finding the Fourth Proportional to 2,155.52, 2,973.60 and 1,409.20

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Solution

The fourth proportional to 2,155.52, 2,973.60 and 1,409.20 is: 1,944.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.52 : 2,973.60 = 1,409.20 : x
  2. Step 2: Convert to fraction form
    2,155.52/2,973.60 = 1,409.20/x
  3. Step 3: Cross multiply
    2,155.52x = 2,973.60 × 1,409.20
  4. Step 4: Simplify right side
    2,155.52x = 4,190,397.12
  5. Step 5: Solve for x
    x = 4,190,397.12/2,155.52
  6. Step 6: Final answer
    x = 1,944.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.