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Finding the Fourth Proportional to 2,203.54, 3,041.29 and 1,319.16

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Solution

The fourth proportional to 2,203.54, 3,041.29 and 1,319.16 is: 1,820.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.54 : 3,041.29 = 1,319.16 : x
  2. Step 2: Convert to fraction form
    2,203.54/3,041.29 = 1,319.16/x
  3. Step 3: Cross multiply
    2,203.54x = 3,041.29 × 1,319.16
  4. Step 4: Simplify right side
    2,203.54x = 4,011,948.12
  5. Step 5: Solve for x
    x = 4,011,948.12/2,203.54
  6. Step 6: Final answer
    x = 1,820.68

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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.