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Finding the Fourth Proportional to 1,325.30, 1,829.12 and 1,259.19

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Solution

The fourth proportional to 1,325.30, 1,829.12 and 1,259.19 is: 1,737.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.30 : 1,829.12 = 1,259.19 : x
  2. Step 2: Convert to fraction form
    1,325.30/1,829.12 = 1,259.19/x
  3. Step 3: Cross multiply
    1,325.30x = 1,829.12 × 1,259.19
  4. Step 4: Simplify right side
    1,325.30x = 2,303,203.32
  5. Step 5: Solve for x
    x = 2,303,203.32/1,325.30
  6. Step 6: Final answer
    x = 1,737.88

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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.