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Finding the Fourth Proportional to 2,003.60, 3,004.86 and 1,358.30

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Solution

The fourth proportional to 2,003.60, 3,004.86 and 1,358.30 is: 2,037.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.60 : 3,004.86 = 1,358.30 : x
  2. Step 2: Convert to fraction form
    2,003.60/3,004.86 = 1,358.30/x
  3. Step 3: Cross multiply
    2,003.60x = 3,004.86 × 1,358.30
  4. Step 4: Simplify right side
    2,003.60x = 4,081,501.34
  5. Step 5: Solve for x
    x = 4,081,501.34/2,003.60
  6. Step 6: Final answer
    x = 2,037.08

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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.